Answer:
A = $2130.49
Step-by-step explanation:
Given the following data;
Time, t = 5 years
Interest rate, r = 8%
Principal = $1450
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 1450(1 + \frac{8}{100})^{5}[/tex]
[tex] A = 1450(1 + 0.08)^{5}[/tex]
[tex] A = 1450(1.08)^{5}[/tex]
[tex] A = 1450 * 1.4693 [/tex]
A = $2130.49
Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?
Number of pounds of type A coffee:
9514 1404 393
Answer:
32 pounds
Step-by-step explanation:
Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...
4.35a +5.80(2a) = 510.40
15.95a = 510.40 . . . . collect terms
a = 32 . . . . . . . . . . . divide by 15.95
Number of pounds of type A coffee: 32.
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
What is the explicit rule for the sequence?
- 114, -109, -104, -99,
An= -5n - 109
An= -5n - 119
An= 5n - 119
An= 5n - 109
Answer:
5n - 119
Step-by-step explanation:
First, we notice that the sequence is going up by 5, so we could rule out 2 answers: -5n - 109, and -5n -119 (They go by -5). Then all we have to find is the constant, -119 or -109. Well we could rule out -109 because -114 is included in the sequence, and if we start by -109 and start counting up, we will never get to -114. So, the solution is 5n - 119
We have been given that - 114, -109, -104, -99. the explicit rule for the sequence is 5n - 119.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
(for all positive integer values of n)
And thus, the common difference is
[tex]T_{n+1} - T_n[/tex]
for all positive integer values of n
We have been given that
- 114, -109, -104, -99,
a = -114
[tex]T_n = a + (n-1)d[/tex]
T = -114 + (n - 1)5
T = 5n - 119
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
E09 Review
Scores on "The ability to do quantitative thinking" test are normally distributed with a mean of 250 and a standard deviation of
25. Brandi scored at the 81st percentile on this test. What was her test score?
is the test score for Brandi.
Answer:
272 is the test score for Brandi.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 250 and standard deviation of 25:
This means that [tex]\mu = 250, \sigma = 25[/tex]
Brandi scored at the 81st percentile on this test. What was her test score?
The z-score of her score of X has a p-value of 0.81. This means that her score is given by X when Z = 0.88.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.88 = \frac{X - 250}{25}[/tex]
[tex]X - 250 = 0.88*25[/tex]
[tex]X = 272[/tex]
272 is the test score for Brandi.
Part A: If (2 power to6)X = 1, what is the value of x? Explain your answer. Part B: If (5 power to0x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
A. 64
B. 1
Step-by-step explanation:
A. 2^6x. 2^6(1). 2^6=64.
b. 5^0x=5^0=1.
Please mark as brainliest
What number must you add to the polynomial below to complete the square?
x2 + 15x
Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
HELP PLEASE
I DONT UNDERSTAND THIS AT ALL
slope =
Answer:
look at the picture i have sent
In the image below, what is the scale factor that would take the right polygon onto the left polygon?
40
25
14
10
Step-by-step explanation:
You don't have an image so it's diffcult to answer the question I'll help but I need the image please and thank you
find the value of x. No links please
Answer:
Each x is equal to 39.
Step-by-step explanation:
Well, all of the angles in a triangle would add up to 180 degrees. So since this is an isosceles triangle, we now know that the two base angles are going to be congruent. We would do 180 minus 102 and that would get us 78. So x would be 39 because of 78 divided by 2.
Hope this makes sense! :)
What is another way to express 42 +24?
Answer:
42*2
Step-by-step explanation:
42*2
Answer:
24 + 42, if thats not what your looking for comment and I'll fix it! :)
120 – [132 ÷ (3 x 4) – { 20 – 15 – 3 } ]
Answer:
147
Step-by-step explanation:
120 - (-27) = 120 + 27 = 147
it takes 12 minutes and 36 seconds to walk around the city block. How many seconds did it take?
Answer:756
Step-by-step explanation:
Take 12 and multiply it by 60 since that’s how many seconds are in a minute then add 36
Hope this helps
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the face value of a 10-year term insurance policy on a 25-year-old female given that the annual premium for the insurance policy is $384.59. If need be, round your answer to the nearest cent. Term Insurance Age 5-Year Term 10-Year Term Male Female Male Female 20 $2.07 $4.20 21 22 23 24 $2.43 2.49 2.55 2.62 2.69 2.77 2.15 2.22 2.30 2.37 2.45 $4.49 4.57 4.64 4.70 4.79 4.29 4.36 4.42 4.47 25 4.85 4.51 C $80,290.19 b. SB6,038,03 $85,274.94 $79,296.69
Answer:
the answer is c.
$85,274.94
Step-by-step explanation:
on edge
A deck Corredor is setting up for a reception she purchases 10 containers of flowers with and flowers in each container she divides the total number flowers evenly among the centerpieces if there are twotea centerpieces which expression represents the number of flowers that each centerpiece will contain
Answer:
The answer is D my friend 10n-t. Hope this Helps :)
Step-by-step explanation:
How many hours in a year?
Answer:
Here is your answer hope it helps u have a great day ahead....
help fast please!!!!!!
Answer:
75
Step-by-step explanation:
7.5 x 5 = 37.5
1/2:1
37.5:74
Also, I did it :D
What is the final step to prove that Sn>-1/2-1/4-1/8...-1/2n=1/2n
Answer:
By a theorem we learned, i. and ii. are valid under the assump- tion that the sequences (a n)1 n=1and (b n) 1 n=1are convergent. For iii.]
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
final step for induction proof
Find the term named in the problem geometric sequence and series
1). -3,-6,-12,-24 find a10
2). -2,6,-18,54 find a12
Answer: See explanation
Step-by-step explanation:
The nth term of a geometric progression is calculated by:
= ar^n-1
1). -3,-6,-12,-24 find a10
a = first term = -3
r = common ratio = -6/-3 = 2
n = 10
Using the formula
a10 = ar^n-1
a10 = -3 × 2^10-1
a10 = -3 × 2^9
a10 = -3 × 512
a10 = -1536
2). -2,6,-18,54 find a12
a = first term = -2
r = common ratio = 6/-2 = -3
n = 12
Using the formula
ar^n-1
a12 = -2 × -3^12-1
a12 = -2 × -3^11
a12 = -2 × -177147
a12 = 354294
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
consider a triangle ABC like the one below suppose that a=23 b=14 c=27 (the figure is not drawn to scale.) solve the triangle. carry your intermediate computations at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution use the button labeled "or"
Answer:
find abc
Step-by-step explanation:
Mr. Johnson is planning his wife's 50th birthday party. He has told the restaurant to plan on 50 people and they gave him a cost of $8.50 per person. The actual number of people that came to the party was 36% more than expected. How much more will Mr. Johnson have to pay for the extra people? need example too please
Answer:
$153 more
Step-by-step explanation:
50 x .36 = 18
50 + 18 = 68
50 x 8.5 = 425
68 x 8.5 = 578
578 - 425 = 153
Answer:
It will cost a total of $153.00 MORE
Step-by-step explanation:
If the planned amount was 50 people and 36% more showed up we would need to calculate 50x.36= 18. Then multiply 18 by the cost per person meaning 18x8.5=$153.00
how do you solve simple linear equations?
9514 1404 393
Explanation:
The rules of equality tell you that you can do anything you like to an equation, as long as you do the same thing to both sides of the equal sign. This is the essence of Algebra, so is worth remembering. My teacher summarized it as "keep the equal sign sacred."
__
"Simple linear equations" come in several varieties. They are sometimes called "one-step", or "two-step", or "three step" linear equations, depending on how many steps are required to solve them. In what follows, we're using "x" as the variable, and the letters a, b, c, d as constants.
One-step
In general, the "one step" will be either an addition or a multiplication.
x + a = b . . . . an addition equation
ax = b . . . . . . a multiplication equation
The key in any case is to look at what is done to the variable and use an inverse operation to "undo" it. The opposite of addition is addition of the additive inverse (add the opposite). This is also called subtraction. For the addition equation, this looks like ...
x + a - a = b - a . . . . . . add (-a) to both sides (or subtract 'a')
x = b - a . . . . . . . . . . . the solution
The opposite of multiplication is multiplication by the multiplicative inverse (the reciprocal) This is also called division. For the multiplication equation, this looks like ...
ax(1/a) = b(1/a) . . . . . multiply by (1/a) on both sides (or divide by 'a')
x = b/a . . . . . . . . . . . the solution
__
Two-step
As with one-step linear equations, two-step equations come in some different forms.
ax +b = c
ax +b = cx
a(x +b) = c
In general, the two steps are an addition step and a multiplication step, not necessarily in that order. You will notice that the first step can transform the equation to a "one-step" equation. As before, inverse operations are involved, and whatever is done is done to both sides of the equal sign.
ax +b = c ⇒ ax = (c -b) . . . . subtract b to get a multiplication equation
In this next, we have the variable on both sides of the equal sign. we can put the variable on one side of the equal sign by adding the opposite of the term we don't want where it is. Leaving the constant alone, we can add (-ax) to both sides to get ...
ax +b = cx ⇒ b = cx -ax ⇒ b = (c -a)x
When you have numbers, you can go directly to (c-a)x by "combining terms". This is now the one-step multiplication equation.
Finally, another 2-step form is ...
a(x +b) = c ⇒ x +b = c/a . . . . . divide by 'a' to get an addition equation
This last equation can also be solved by using the distributive property first.
ax +ab = c . . . . . still a 2-step equation, now of the first type
__
Three-step
The most typical "3-step" linear equation is of the form ...
ax +b = cx +d
where both variables and constants are on both sides of the equal sign. As you may have noticed above, we prefer to have variables on one side and constants on the other side. So, add the opposite of the term you don't want where it is (to both sides, of course).
If we want variables on the left and constants on the right, we can add -cx and -b. The "3 steps" assume you do these as separate operations.
ax +b -cx = cx +d -cx ⇒ (a-c)x +b = d . . . a two-step equation
(a-c)x +b -b = d -b ⇒ (a-c)x = d-b . . . . a one-step multiplication equation
_____
Additional comments
There are some choices you can make that will tend to reduce errors. One of them involves selection of the variable term you want to eliminate (add the opposite of). Generally, if you choose the term with the lowest (most negative, left-most on the number line) coefficient, adding its opposite will result in a positive coefficient for the remaining variable term. Then when you divide by that coefficient, you're dividing by a positive number. Most folks perform arithmetic with fewer errors when they're working with positive numbers.
The general approach to any "solve for" situation is to look at what is done to the variable you're solving for. The Order of Operations is a useful lens for looking at this. When you list the operations, your "undo" sequence will start with the last operation on the list, and work backward.
Further note: your total comfort with doing arithmetic with any kind of numbers (integers, fractions, mixed-numbers, decimals, scientific notation, positive or negative) will aid you immensely. Always be careful with minus signs. They tend to get lost, forgotten, ignored, Be sure they don't.
Help plz ill give v bucks
Answer:
a = 4
Step-by-step explanation:
Lets call a² the side a
Let's call b² the side with 3
The hypotenuse, the longest side and the opposite side from the 90° angle is c²
a² + b² = c²
a² + 3² = 5²
a² + 9 = 25
subtract 9 from both sides
a² = 16
sq root 16 = 4
a = 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Determine the area of the parallelogram below
-No links, docs, files or anything along that line
-lots of points
-will mark BRAINLYEST
Answer:
[tex]44.4 {m}^{2} [/tex]Step-by-step explanation:
Given,
Base of the parallelogram = 12m
Height of the parallelogram = 3.7m
Therefore,
Area of the parallelogram = base × height
= 12m × 3.7m
[tex] = 44.4 {m}^{2} (ans)[/tex]
Can somebody help me with 1 Nd 2
Answer:
1(A)X=3/12
=1/4
1(B)X=14-10
=4
1(C)X=24/6
=4
1(D)X=8+4
=12
2 NO
=He got that answer by dividing $40 by 8
Step-by-step explanation:
Hope it helps u!!
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1070 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 5.2. It is assumed that the two tests measure the same aptitude, but use different scales.
(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score. Round answer to a whole number. SAT score =
(B) What would be the equivalent ACT score for this student? Round answer to 1 decimal place. ACT score =
(C) If a student gets an SAT score of 1417, find the equivalent ACT score. Round answer to 1 decimal place. ACT score =
Answer:
a) SAT score = 1075
b) ACT score = 19.2.
c) ACT score = 27.9.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score
SAT scores have mean 1070 and standard deviation 204, so [tex]\mu = 1070, \sigma = 204[/tex]
51th percentile means that Z has a p-value of 0.51, so Z = 0.025. The score is X. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.025 = \frac{X - 1070}{204}[/tex]
[tex]X - 1070 = 0.025*204[/tex]
[tex]X = 1075[/tex]
SAT score = 1075.
(B) What would be the equivalent ACT score for this student?
ACT scores have mean of 19.1 and standard deviation of 5.2, which means that [tex]\mu = 19.1, \sigma = 5.2[/tex]. The equivalent score is X when Z = 0.025. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.025 = \frac{X - 19.1}{5.2}[/tex]
[tex]X - 19.1 = 0.025*5.2[/tex]
[tex]X = 19.2[/tex]
ACT score = 19.2.
(C) If a student gets an SAT score of 1417, find the equivalent ACT score.
Z-score for the SAT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1417 - 1070}{204}[/tex]
[tex]Z = 1.7[/tex]
Equivalent score on the ACT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.7 = \frac{X - 19.1}{5.2}[/tex]
[tex]X - 19.1 = 1.7*5.2[/tex]
[tex]X = 27.9[/tex]
ACT score = 27.9.
Solve the inequality.
-3w - 2 < -17
Answer:
w>5
Step-by-step explanation:
See the steps below:)
Answer:
w > 5
Step-by-step explanation:
-3w -2 < -17
+2 +2
-3w < -15
-3/-3
-15/-3
w> 5
Whats the area?????????????
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
What is lim X-7
Vx+2-3?
-
Find the linear regression equation for the transformed data. Х у Log y 1 1 0 2 21 1.322 3 121 2.083 4 621 2.793 5 3121 3.494 A. log(y) = -0.599x+0.846 B. log(y) = -0.846 x +0.599 O ( C. log(y) - 0.846x-0.599 D. log(y) = 0.599x-0846
Answer:the answer is c.
Step-by-step explanation:
The linear regression equation for the transformed data is log(y) = -0.846 x +0.599. The correct option is B.
What is linear regression?Linear regression is a statistical method for determining the relationship between two quantitative variables, typically denoted by the letters x and y. The goal of linear regression is to find a linear equation that can predict y based on x.
To find the linear regression equation for the transformed data, we must first transform the y-values by taking each value's logarithm base 10.
Then we can use the linear regression equation to calculate the slope and y-intercept of the best-fit line.
The linear regression equation for the transformed data is:
log(y) = -0.846x + 0.599
Therefore, the correct answer is B. log(y) = -0.846x + 0.599.
For more details regarding linear regression, visit:
https://brainly.com/question/29665935
#SPJ7
