Answer:
Joseph will have 1,108$ in his bank account when he opens it again.
First, we need to know how much 0.3% of 1000$ is, which is 3$.
Next, since there are 12 months in a year we multiply 3$ by 12 which is 36.
Then, since 3 years have passed we multiply 36$ by 3 which is 108$. So in conclusion, he'll have 1,108$ when he checks his account again.
Answer:
$1,113.87
Step-by-step explanation:
The initial value is 1,000, the rate of increase is 1.003, and the number of times it will increase is 36. y=1000 ( 1.003 ) 36 =1,113.87y equals 1000 left parenthesis 1.003 right parenthesis superscript 36 baseline equals 1113.87.
If $3,000 is deposited at the end of every six months into an account that earns 10% semiannually, find the amount after 10 years.
Answer:
7959.83
Step-by-step explanation:
A = P ( 1+r/n)^ nt
Where A is the amount in the account
P is the principal
r is the rate
n is the number of compoundings per year
t is the years
A =3000 ( 1+.10/2)^ 2*10
A =3000 ( 1+.05)^ 20
=7959.83
Answer:
$66,000
Step-by-step explanation:
if they earn 6,000 every year and another $600 through interest, add 6,000 + 600 = 6,600 x 10 = $66,000.
Which statement is true about the green,orange,and gray triangles show in the textile pattern below?
A. They are congruent obtuse triangle
B. They are congruent right triangle
C. They are acute right triangle
D. They are similar right triangle
Answer:
b
Step-by-step explanation:
the triangles are all the same so they are congruent. They are also right triangles so they must be a right triangle the only answer that combine this is b
The green, orange and gray triangles are congruent and right triangles. Thus option B is correct.
What are congruent triangles and right triangle?Two triangles are congruent triangles if they are of same size and shape.
Right triangle is a triangle with one of angle 90°.
The given triangles of green, orange and gray triangles are of same shape and size . Therefore we can say that they are congruent triangles
Also we can see that they all have right angle on the left corner therefore they are right triangles . If they are right triangles then they will be also acute triangles too as the some of other two angles of each triangle will be 90 it means they both are less than 90 and congruent means they are similar too as similar triangles have same shape.
Therefore the most appropriate option is Option B , that given triangles are congruent right triangles.
Also, Learn more about the congruent triangles from the given below link:
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The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is
(x - 4)² + y² = 2√3
(x - 4)² + y² = 12
(x + 4)² + y² = 12
Answer:
B. (x - 4)² + y² = 12
Step-by-step explanation:
Rewrite in standard form to find the center (h,k) and radius r.
Answer:
B?
Step-by-step explanation:
Calculate the sum of the first 50 terms in the sequence.
18, 21, 24, 27, ...
Answer:
hope this is correct
The sum of the first 50 terms in the sequence 18, 21, 24, 27, ... is 4575.
What is the sum of the sequence?The sum of the sequence can be calculated by the formula
[tex]S_n = n/2(2a +(n-1)d)[/tex]
where a is the first term, d is the common difference
To find the sum of the first 50 terms in the sequences: 18, 21, 24, 27, ...
[tex]S_n = n/2(2a +(n-1)d)[/tex]
here, a = 18
d = 21 - 18 = 3
n = 50
[tex]S_{50} = 50/2(2(18) +(50-1)3)\\S_{50} = 25(36+147)\\S_{50} = 4575[/tex]
Thus, the sum of the first 50 terms in the sequence is 4575.
Learn more about sequence ;
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PLZ HURRY ILL GIVE BRAINLIEST
Simplify. 6(5p^3 − 6p)
ALSO, HOW WAS YOUR DAY?
Answer:
p = {0, -1.095445115, 1.095445115}Step-by-step explanation:
Answer:
30p^3-36p. Also, my day was niceeeee.
Step-by-step explanation:
To simplify this, we have to use the distributive property. First, you do 6 times 5p^3, and then you get 30p^3. Then you do 6 times 6p, which gives you 36p. So, the final answer would be 30p^3-36p.
Solve by taking the square root of both sides.
3 (x +3)^2 – 81 = 0
a. X = -3 -3 sqrt 3 or -3 + 3 sqrt 3 c. 3 sqrt 3 or 3 + 3 sqrt 3
b. X = -3 -6 sqrt 3 or -3 + 6 sqrt 3 d. 3 sqrt 3 or -3 + 3 sqrt 3
Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{27}[/tex] = ± 3[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )
x = - 3 ± 3[tex]\sqrt{3}[/tex]
x = - 3 - 3[tex]\sqrt{3}[/tex] or x = - 3 + 3[tex]\sqrt{3}[/tex] → a
Answer:
a
Step-by-step explanation:
Please help me with this question
Find the product of (6-10i) and it’s conjugate.
Product = ?
FYI: the answer is not 6-10i or 6+10i
Answer:
136
Step-by-step explanation:
(6-10i)(6+10i)
36 +60i - 60i - 100i²
36 - 100i² (i² = -1)
36 + 100
136
Answer: 136
Step-by-step explanation:
First, we need to find the conjugate before we can find the product of the conjugate and 6-10i.
The conjugate is the binomial with an opposite sign.
6+10i
Now that we have our conjugate, we can find the product.
(6-10i)(6+10i) [distribute the factors, FOIL method]
36+60i-60i-100i² [combine like terms]
36-100i² [i²=-1]
36-100(-1) [multiply and subtract]
36+100=136
Our product is 136.
56. If 6 men plough a field in 10 hours, how many hours will it take 4 men to do the same work? (Assuming they are
working at the same rate).
A 8 B. 15 C. 20 D. 25 E. 27
Answer:
15 hours, or B
Step-by-step explanation:
6 men - 10
12 men - 5
4 men - 15
Please mark as brainliest
Answer:
15 hours
Step-by-step explanation:
10/6 ≈ 3.7
4 * 3.7 = 14.8
-round it up-
14.8 ≈ 15
Which matrix represents the system of equations shown below?
8x-3y = 9
2x + 5y = -7
Answer:
The correct answer is D.
Step-by-step explanation:
hope it works out !!
Answer:
its A
Step-by-step explanation:
i just did it
please look at the image provided.
So the value of X is 3.
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]x = 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If f(x) = x2 - 2x, find:
f(6) = [?]
Answer:
f(6) = 24
Step-by-step explanation:
f(x) = x^2 - 2x
Let x = 6
f(6) = 6^2 - 2(6)
= 36 - 12
= 24
[tex]\text{Plug in 6 to x:}\\\\f(6) = (6)^2-2(6)\\\\\text{Solve:}\\\\f(6) = (6)^2-2(6)\\\\f(6) = 36-2(6)\\\\f(6) = 36-12\\\\\boxed{f(6)=24}[/tex]
How many solutions does the following system of equations have?
2y= 5x+4
y= 3x+2
Α. Two
B. One
C. Zero
D. Infinitely many
Answer:
B. One
Step-by-step explanation:
The lines have different slopes, so they must intersect at exactly one point.
There is One solution to this system.
_____
If you solve the first equation for y, you get ...
y = (5/2)x +2
This has a different slope (x-coefficient) than the second equation does, but it has the same y-intercept. That y-intercept is the point of intersection of the lines, hence the solution: (x, y) = (0, 2).
In circle o, diameter ADB and chord AC are drawn. Find the measure of arc BC. Please help
Answer:
Arc BC is 64°
Step-by-step explanation:
The parameters given are;
∠CAB = 32°
We note that the measure of arc BC = ∠CDB
∠DCA = ∠CAB = 32° (Base angles of an isosceles triangle)
∠ACB = 90° (Angle subtended at the center = Twice angle subtended at the circumference)
∠ACB = ∠DCB + ∠DCA
∴ ∠DCB = ∠ACB - ∠DCA = 90° - 32° = 58°
∠DBC = ∠DCB = 58° (Base angles of an isosceles triangle)
∴ ∠CDB + ∠DBC + ∠DCB = 180° (Sum of interior angles of a triangle)
∠CDB = 180° - (∠DBC + ∠DCB) = 180° - (58° + 58°) = 64°
∠CDB = Arc BC = 64°
Overestimate the grocery bill with items that cost: $8.56, $5.34, $34.25, and $6.80.
A. $55.00
B. $57.00
Answer:
B. $57.00
Step-by-step explanation:
The totals add up to just under $55.00, so an overestimate would be $57.00
Angles L and M are supplementary. If m ∠ L = (x+2)° and m ∠ M = (x-6)°. What is the value of x?
The value of X is 92.
please see the attached picture for full solution
Hope it helps
In a group of 60 students, 18 students take Algebra I, 20 students take
Algebra II, and 10 students take both subjects. How many students don't take
either of these subjects?
A. 34
B. 36
C. 32
D. 12
Answer
D (12)
Step-by-step explanation:
60-20=40
40-18=22
22-10=12
What is the name of the relationship between ∠1 and ∠4?
alternate exterior angles
adjacent angles
corresponding angles
alternate interior angles
Answer:
they are corresponding angles
Step-by-step explanation:
Which of the following represents 1% of 300
•1
•3
•3/100
•30
Answer:
it's •3
Step-by-step explanation:
1/100 × 300/1 =3
100 into 300 is 3
then equal to 3/1
any number over one is it self
Help!!due today help as quickly plz
Answer:
Step-by-step explanation:
The answer will be
2/16 + 5/8 = 3/4
Line CD contains points A (4, −7) and B (4, 8). The slope of line CD is
Answer:
Undefined
Step-by-step explanation:
Slope of CD
[tex] = \frac{8 - ( - 7)}{4 - 4} = \frac{8 + 7}{0} = \infty \\ [/tex]
Hence, Slope of CD is undefined.
A boy sent a telegram which contains 36 words to his mother if the first 12 words cost $20 and each additional word cost 2$ per word how much did he pay ?
Answer:
(d) 60 kobo
Step-by-step explanation:
36 divided by 12 = 3
3 x 20 = 60
Hope this helps!
If a point Cis inside ZAVB, then mŁAVC+
= MZAVB.
m ZAVB = 62°
A. MZCVB
B. MBVA
C. MZAVB
o
D. MZAVC
SUBMI
- PREVIOUS
Answer: A
Step-by-step explanation:
The missing angle is <CVB.
What is an Angle?An angle is formed by joining two rays (half-lines) that have a shared terminal. The latter is referred to as the angle's vertex, while the rays are referred to as the angle's sides, legs, and arms.
An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner".
We have m < AVC = 39
and, m <VCB = 23
Thus, by adding the above angle we get the whole angle AVB.
Sp. m< AVB = m <AVC + <VCB
m <AVB = 23 + 39
m <AVB = 62
Learn more about Angle here:
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Amanda is running a mile in gym class. She runs at a pace of 5 minutes per mile. What's the dependent variable in the situation?
Ramp Learning
Consider the expression 2(−2y+8).
Identify the equivalent expression below that demonstrates distributive property.
Two buses are moving towards each other, one at a speed of 40 mph and the other at a speed of 50 mph. How much closer to each other will they be in two hours?
Answer:
180 miles
Step-by-step explanation:
The are moving towards each other at 50 mph and 40 mph which is the same as 90 mph. They are moving 90 mph closer to each other every hour so in 2 hours it would be 180 miles.
I WILL MAKE BRAINLIEST AND 30pts. FAST AND HELP ME
Answer:
3rd,5th,6th
Step-by-step explanation:
complementary angles has 90 degree angles and 5x+40 = 5x10+40 = 50+40 = 90 and adjacent angles are angles that add up to a complementary or supplementary angle and do not overlap.
Hope this helps!
Answer:
Step-by-step explanation:
3rd option
x=10
angle ABD + angle DBC = 90
ie 5x + 40= 90
5x=90-40
5x=50
x=10
5th option
both are complementary angles
as they are sum is 90 degree
hope this helps you and dont forget to make me as the brainliest......
which inequality matches the graph?
Is 7 a factor of 56w - 7?
Answer:
yes it is
Step-by-step explanation:
Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. ... The prime factors of a number or an algebraic expression are those factors that are prime.
Numbers we can multiply together to get another number.
Example: 2 and 3 are factors of 6, because 2 × 3 = 6
A number can have MANY factors!
Example: What are the factors of 12?
• 3 × 4 = 12, so 3 and 4 are factors of 12
• 2 × 6 = 12, so 2 and 6 are also factors of 12
• and 1 × 12 = 12, so 1 and 12 are factors of 12 as well
So 1, 2, 3, 4, 6 and 12 are all factors of 12
And -1, -2, -3, -4, -6 and -12 also, because multiplying negatives makes a positive.
In Algebra, factors can be expressions like "x+3" etc
please mark brainliest :)
Answer:
56w-7 56/7= 8 -7/7=-1
Step-by-step explanation:
8w-1 answer here
Diana works in a factory. She receives a salary of $8 per hour and piecework pay of 12
cents per unit produced. Last week she worked 38 hours and produced 755 units.
a. What was her piecework pay?
b. What was her total hourly pay for the week?
c. What was her total pay for the week?
d. What would her total weekly salary have been if she produced 0 units?
Answer:
A) $90.60
B)$304
C)$394.60
D)$304
Step-by-step explanation:A) If she makes 8 cents per product produced and she's produced 755, you multiply 755 times 8 and get 6,040. Place the tenths decimal and you get your answer.
B)She makes 8 an hour and works 38 hours, 38 multiplied by 8 equals $304.
C) Add the answers to both A and C and you get $394.6
D) Refer back to B
answer both, please. and explain
Answer:
4. [tex]\frac{13}{23}[/tex]
5. [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
4. The relative frequency is how often it happens divided by the whole number of outcomes.
In this case it would be [tex]\frac{13}{23}[/tex]
5. Find the relative frequency again:
[tex]\frac{12}{28}=\frac{4}{7}[/tex]
