The amount of interest earned by Jason is $78.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time.
Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to calculate interest, the principal amount in simple interest remains constant.
Given that Jason invests $325 in a bank account. The bank has an annual interest rate of 24%.
The interest will be calculated as:-
SI = ( P x R x T ) / 100
SI = ( 325 x 24 x 1 ) 100
SI = $78
Hence, the simple interest is $78.
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Can someone please help me
Simplify the expression:
(1 + 6g)(3) =
Answer:
3 + 18g
Step-by-step explanation:
(1+6g)(3)=
Begin by distributing the 3 to each of the terms, I like to re-write it like this before distributing to make sure I remember to multiply all the terms inside the parenthesis.
(3)(1+6g)
3 + 18g
Since we are just simplifying the problem and not solving it, you won't have a number for your answer. It's usually a smaller equation with at least one variable :)
Linda is riding on a bike course that is 60 miles long. So far, she has ridden 54 miles of the course. What percentage of the course has Linda ridden so far?
Answer:
its prob 6% or 96%
Step-by-step explanation:
Jim changes his passwords every 90 days and cleans out his files every 50 days. If he just did both on the same day, what is the least number of days before he changes them both again on the same day?
Answer:
450 days
Step-by-step explanation:
i used multiplication
Have a great great day!
Fast-Food Bills for Drive-Thru Customers A random sample of 49 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $18.90 per car. The population standard deviation is $5.90. Estimate the mean bill for all cars from the drive-thru with 93% confidence. Use a graphing calculator and round the answers to at least two decimal places.
Answer:
sample mean:: 17.92
ME = z*s/sqrt(n) = 1.8807*6.35/sqrt(47) = 1.7421
------------------------
Step-by-step explanation:
Mrs. Thompson purchased 4 notebooks at $2.95 each and 4 pens at $1.50 each. How much did she spend in all?
Answer:
Step-by-step explanation:
Multiply the quantity by the price.
4 notebooks x $2.95 each=???
4 pens x $1.50 each=???
Answer:
$17.80
Step-by-step explanation:
Mabel solves this problem but when she completed her check, she found out that her answer was wrong. What step did she do incorrectly?
Answer:
she should have subtracted 11 instead of 4
the answer is -21
Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and cookies (b) that she should buy? ( a ≥ 0 , b ≥ 0 )
Answer:
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Step-by-step explanation:
We are told she would like to have at least 40 cupcakes and cookies combined.
If a is number of cupcakes and b is number of cookies, then this inequality is;
a + b ≥ 40
Secondly, we are told she would like to have at most 5 more cupcakes than cookies.
Thus, the inequality is;
a + 5 ≤ b
Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Thus, the inequality is;
2.50a + 1.50b ≤ 105
Finally, the 3 inequalities are;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
can anyone help. me pass
Consider the equation 2(ax+3)=4x−3(4x+8). For what value of a is there no solution to the equation?
Answer:
the value of [tex]a[/tex] such that there is no solution to the equation is [tex]a = -4[/tex].
Step-by-step explanation:
Let first simplify the expression presented on statement. The equation has no solution if and only if [tex]a[/tex] is eliminated in the process and an absurd is the result (i.e. [tex]0 = 7[/tex]).
[tex]2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)[/tex]
[tex]2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24[/tex]
[tex]2\cdot a \cdot x+6=-8\cdot x-24[/tex]
[tex]2\cdot a\cdot x +8\cdot x = -30[/tex]
[tex]2\cdot (a+4)\cdot x = -30[/tex]
[tex](a+4)\cdot x = -15[/tex]
To obtain an absurd, we need that [tex]a+4 = 0[/tex]. Hence, the value of [tex]a[/tex] such that there is no solution to the equation is:
[tex]a = -4[/tex]
Let prove the certainty of the result. We find that an absurd exist: ([tex]a = -4[/tex])
[tex]0 = -15[/tex]
Considering the equation
[tex]\rm 2(ax+3) = 4x - 3(4x+8) \\[/tex]
The equation given above has no solution when a = -4
On simplifying the given equation we can find that
[tex]\rm 2(ax + 3) = 4x-3(4x+8)\\2ax + 6 = 4x- 12x-24 \\2ax +6 +24 = -8x \\2ax +30 = -8x \\2ax+8x +30 = 0[/tex]
The equation has no solution when the equality of both sides does not hold true .
Hence by observation we can say that the equation has no solution when
[tex]\rm 2ax = -8x \\\\2a =-8\\\bold{a =-4} \\[/tex]
So the equation given above has no solution when a = -4.
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I don't know what point it is
Write an equation in Standard Form. A store sells t-shirts for $12 each and
sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
Answer:
12x + 15y = 120
Step-by-step explanation:
x= t shirts
y= sweatshirts
x+y=total
12x + 15y = 120
(I got this question on a quiz and I got it right!)
I hope this helps!
The equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The price for t-shirts = $12 each
The price for the sweatshirt = $15 each
Let's suppose x number of t-shirts and y number of sweatshirts bought.
Then,
12x + 15y = 120
The equation represents the total number of t-shirts and sweatshirts bought if spend $120
Thus, the equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120
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Given that vector u has an initial point of (2,-1 ) and a terminal point of (3, 1) and vector v = (- 6, 7) , find v - u.
Answer:
v-u = (-7,5)
Step-by-step explanation:
Given
u has an initial point of (2,-1 ) and a terminal point of (3, 1)
And
v = (-6,7)
First of all we have to find the vector u. for this purpose the initial point is subtracted from the termination point.
Let
[tex]P_1 = (2,-1)\\P_2 = (3,1)\\then\\u = P_2-P_1\\= (3,1) - (2,-1)\\= (3-2, 1+1)\\=(1,2)[/tex]
The vector u is (1,2)
Now we have to find v-u
So,
[tex]v-u = (-6,7) - (1,2)\\= (-6-1,7-2)\\=(-7,5)[/tex]
Hence,
v-u = (-7,5)
Answer:
Operations with vectors practice The final score is 3/3 (100%).
1.(2,4)
2.(-7,5)
3.441 mph
Step-by-step explanation:
got them right you’re welcome and have a nice day!
F(x)=-10x-3 ; compressed horizontally by a factor of 5/8
Answer:
yes?
Step-by-step explanation:
9. Zay's age is twice his sister Taylor's age. If they add their ages together,
they get 27. How old are Zay and Taylor?*
A. Zay is 12; Taylor is 15
B. Zay is 18; Taylor is 9
C. Zay is 16; Taylor is 8
D. Zay is 9; Taylor is 18
Answer:
d
Step-by-step explanation:i use my brain ;)
Answer: B
Step-by-step explanation: it says that their combined age is 27 so that is what the equation must equal. It says that Zay is twice Taylor's age so lets say Taylor's age is X, Zay's age would be 2X. Combined it would be 3x. So the equation is
27= 3X
Now if you divide by 3 in both sides you should get 9. Now that's Taylor's age. Multiply by 2 and you get 18 AKA Zay's age.
13 is 26% of what number? Please explain how to solve this!
Answer:
Step-by-step explanation:
50 is it
The equivalent fraction using the multiplier 2 5/8
Answer:
21/8
Step-by-step explanation:
The equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).
To find the equivalent fraction using the multiplier 2 5/8, we need to multiply the original fraction by 2 5/8.
Let's assume the original fraction is "a/b".
The equivalent fraction will be:
Equivalent Fraction = (2 5/8) * (a/b)
To simplify this, we first need to convert 2 5/8 to an improper fraction.
To do that, multiply the whole number (2) by the denominator (8) and add the numerator (5) to get the new numerator.
The denominator remains the same:
2 5/8 = (2 * 8 + 5) / 8 = 21/8
Now, the equivalent fraction becomes:
Equivalent Fraction = (21/8) * (a/b)
To find the final equivalent fraction, we can simply multiply the numerators together and the denominators together:
Equivalent Fraction = (21 * a) / (8 * b)
So, the equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).
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Find the slope of each graph. Express the answer in simplest form. Please show what you graph
Answer:
Undefined
Step-by-step explanation:
Answer:
Slope is Undefined
Step-by-step explanation:
The slope is undefined because it is just a vertical line.
hope this helps.
Fill in the table using this function rule.
y = 10x-3
X
-
0
Answer:
Step-by-step explanation:
y = 10(- 1) - 3 = - 13
y = 10(0) - 3 = - 3
y = 10(1) - 3 = 7
y = 10(5) - 3 = 47
as part of science lesson pupils were asked to stretch a spring to extend its length by 35% per cent the original length of the spring was 35 centimres what should be the length of the extended spring?
Answer:
47.25/cm
Step-by-step explanation:
35 x .35 = 12.25
35 + 12.25 = 47.25 cm
ANSWER THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y=-2/3×
Step-by-step explanation:
y-(-4)=-2/3(×-6)
y+4=-2/3x+4
then subtract 4
y=-2/3×
you use the point slope form
y-y1=m(x-x1)
m equals slope
A farmer has two equal-size fields. He plants corn in 11/12 of the first field and in 6/12 of the second field. How much more of the first field does he plant with corn than the second field?
Answer:
41.66% more than 2nd ..........
Find the value of x
Answer:
x=50
Step-by-step explanation:
Which function is the inverse of f(x) = 2x + 3 ?
Answer:
89
Step-by-step explanation:
the function is the reverse so reverse the problem
ink cartridge weigh 1/8 pound .the total weigjt of cartridge in the boat is 4+ 1/2 pounds how many cartridge fose the box contains . can someone do a step by step awnser plss
4+1/2/1/8 hope this helps
Country Club Activities At the Avonlea Country Club, 72% of the members play bridge and swim, and 87% play bridge. If a member is selected at random, find the probability that the member swims, given that the member plays bridge. Please round the final answer to 2 or 3 decimal places.
Answer:
The probabiltiy that a member swims given they play bridge is 82%.
Step-by-step explanation:
P(Swims given Bridge) = P(Swims and Bridge)/P(Bridge)
= 0.72 / 0.87
= 0.82
two ratios that are equivalent to 5:2
Answer:
10:4
45:18
20:8
Step-by-step explanation:
juan adds 3.8+4.7 and gets a sum of 84 .Is his answer correct.tell how you know
Answer:
His answer was wrong the answer should be 8.5 .
Step-by-step explanation:
3.8+4.7=8.5
Can someone help, please? I'm stuck.
Answer:
Ninafanya hivi kwa kujifurahisha
Step-by-step explanation:
Find the slope of each line. Write in simplest form.
Answer:
Slope = -2
Step-by-step explanation:
The line is going down so it is a negative slope
