Answer:
A)You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
Step-by-step explanation:
We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.
Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?
Principal = 23750
Rate of interest = 7.75%
No. of compounds per year = 12
Time = 8 years
Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r = rate of interest
n = No. of compounds
t = time
Substitute the value sin the formula :
[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]
A=44061.6163406
Interest = Amount - Principal
Interest = 44061.6163406-23750
Interest =20311.62
You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account
Principal = 23750
Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]
[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]
Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
Elanor's newborn baby weighs 3400g. Convert the weight to pounds. Round to the nearest tenth of a pound.
Answer:
7.5 lbs
Step-by-step explanation:
1 g = 0.00220462262185 lb
3400 g * .00220462262185 lbs/1 g = 7.495717 lbs
Rounding to the nearest tenth
7.5 lbs
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
I am guessing that's it.
Answer:
A
Step-by-step explanation:
2m + 7
twice a number (m) increased by 7
or
7 more then twice a number (m)
There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?
Answer:
c.
Step-by-step explanation:
That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C
One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.
Answer:
x = 6
Step-by-step explanation:
to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.
945/7 i dont know it is confused
Answer:
135
Step-by-step explanation:
We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)
Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16
Which values of x make the inequality below true?
5 - 3 + 3x < 13
Find the prime factorization: 49 i am stuck
Answer:
49 can be broken down into 7 * 7 so the prime factorization is simply 7².
Answer:
Bruhhainliest
Step-by-step explanation:
7 and 7
1 and 49
7 x 7 is the prime factorization
What is the domain of the function y = RootIndex 3 StartRoot x EndRoot?
Negative infinity less-than x less-than infinity
0 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
A
All real number which would be -infinity < x < infinity
The domain of the function is the set of all real numbers given by; Negative infinity less-than x less-than infinity.
What is the domain of the function?According to the task content;
It follows that the function whose domain is to be defined is; y = ³√x.Since, the domain of a function includes all possible values of its input variables (x in this case). It follows that the domain of the function in discuss is; all real number values. This follows from the fact that all the cube root of all real numbers can be evaluated.
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Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth . Help please because it says 209.22 is not the answer
Which of the following terms correctly describe the object below?
Check all that apply.
Answer:
Pyramid
Step-by-step explanation:
Because a pyramid has a polygon as its base
Answer:
The correct answers are A. polyhedron. and C. pyramid
Step-by-step explanation:
Somebody please help me please
Answer:
The correct sign is : <
Step-by-step explanation:
3.126 *10^2 is greater than 31260000*10^-9 by 312.56874
Answer: <
Step-by-step explanation:
10^-9 = .00000001
Multiply
31,260,000 * .00000001 = .3126 * 10^0 (1)
10^2 = 100
Multiply
3.126 * 100 = 312.6
.3126 * 10^0 < 3.126 * 10^2
The net of a solid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 4 inches. The base of the triangle is the side of the square. What is the surface area of the solid? WILL GET BRANLIEST! <3
Answer:
33 sq in
Step-by-step explanation:
Area of each triangular face is 1/2×3×4 = 6sq in
Hence total area of four(4) faces is 6×4 = 24sq in
Area of base is 3×3 = 9sq in
Hence Total area of pyramid is 24+9 = 33sq in
If (x – 13) is one factor of x^2– 9x – 52, the other factor is
CAN SOMEONE PLEASE HELP The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey? *
20% of eighth-grade students preferred the seacoast
32% of seventh-grade students preferred the mountains
40% of students preferred the mountains
48% of students preferred the seacoast
Answer:
The true statement about the results of the survey is:
48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
Suppose that f is a sine function ... look at the picture
Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
What is the solution to the equation 1/4x +2= -5/8x - 5
Answer:
x = -8
Step-by-step explanation:
1/4x +2= -5/8x - 5
Add 5/8x to each side
1/4x +5/8x +2= -5/8x+5/8x - 5
1/4x+5/8x +2= - 5
Subtract 2 from each side
1/4x+5/8x +2-2= - 5-2
1/4x+5/8x = - 7
Get a common denominator
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7x * 7/8x = -7 *8/7
x = -8
Answer:
x=-8
Step-by-step explanation:
1/4x+2=-5/8x-5
find l.c.m=8
multiply through by l.c.m which is 8
x/4×8+2×8=-5x/8×8-5×8
2x+16=-5x-40
2x+5x=-40-16
7x=-56
divide both sides by 7
7x/7=-56/7
x=-8
If f(x) = x2 - 2x, find:
f(-4) = [?]
The value of f(x) = x² - 2x at x=4 is 8.
What is function?The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation
Given:
f(x) = x² - 2x
Replace the x with -4.
f(-4) = x² - 2x
Next, Evaluate the power.
= (-4)² - 2(4)
Now, Calculate the rest.
= 16 + 8
= 8
Hence, the value of f(-4) is 8.
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If y varies inversely as x and y = –9 when x = –11, find y when x = 66.
Answer:
[tex]y=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]y=\frac{k}{x}[/tex]
[tex]-9=\frac{k}{-11}[/tex]
[tex]k=99[/tex]
[tex]y=\frac{99}{66}[/tex]
[tex]y=\frac{3}{2}[/tex]
Answer:
y=3 divided by 2
Step-by-step explanation:
Tanisha is going bowling with her friends. It costs $3.00 to rent a pair of shoes and $4.50 per game. If Tanisha has $16.50, which equation can she use to determine how
many games, g, she can bowl?
1.3g + 4.50 = 16.50
2.4.50g + 3 = 16.50
3.3(9 + 4.50) = 16.50
4.3+4.50 + 16.50 = g
pls help
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?
A rectangular pyramid. The cross section is a triangle.
a triangle that has the same dimensions as one of the sides of the pyramid
a triangle that does not have the same dimensions as one of the sides of the pyramid
a parallelogram that is not a rectangle
a rectangle
Answer:
d
Step-by-step explanation:
a rectangle
The cross-section of the shape will be that of a triangle, hence the correction option is A.
What is a cross-section?Cross-sections are basically flat shapes that are formed when we slice through a solid shape.
A good idea of a cross-section is when you slice through a piece of potato.
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1) Function B: x -> /5 -> +1 = y
find the inverse function of Function B
2) find an expression for m in terms of p.
Answer:
5x-35
Step-by-step explanation:
f(x)=5x+7
y=5x+7
x=5y+7
x-7=5y
5x-35=y
27 30 33 36 identify d in this
Answer:
d = 3
Step-by-step explanation:
d represents the common difference between consecutive terms in the sequence, that is
d = 30 - 27 = 33 - 30 = 36 - 33 = 3
A car travels 3 hours at 50mph; then travels
40mph for 7 hours. How many miles does it
travel during the 10 hours?
Hi!
So, the car travels for 3 hours at 50 miles an hour.
That makes 150 miles.
Then, 40 miles per hour for 7 hours.
That makes 280 miles.
Add it together to get 430 miles
list the size of DEF in order from shortest to longest
Answer:
i would probably go with DE, EF, and DF
Step-by-step explanation:
i hope this helps :))
Answer:
DE, EF, and DF
Step-by-step explanation:
IT TO THE BEST OF MY BRAIN!!!! HAVE A NICE DAY!!!
1. Calculate the volume of a cube with the following measurements. Length = 5 cm Height = 10 cm Width = 16 cm 800 cubic cm 400 cubic cm 31 cubic cm 50 cubic cm
Answer:
800
Step-by-step explanation:
lol ain't even a cube das a rectangle
The function g is defined by g(x) =
x + 5
4x + 3
Find g (5a)
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle
Answer:
We find half the measure of the central angle of the circle. Where the given shape is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle is proven. We show this as Angle BAC is a RA 360 is the measure of circle 360/2 = 180 the semi circle Angle BAC is 180/2 = 90 degree.
Step-by-step explanation:
Hope it helps you!
Answer:
A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.
Step-by-step explanation:
Specifically from the edge answer just copy and paste
expand the following 3(5n + 6)
Answer:
15n+18
Step-by-step explanation:
you have to multiply both integers(5n + 6) from inside the bracket with the number outside the bracket *3*
equation working below
3×5n=15n
3×6=18
final answer:
15n+18
((x - 4) + (x + 2)) *
2x – 2
x2 – 8
x2 – 2x – 8
x2 + 2x – 8
Answer:
the 3 one is 4+5=9876
Step-by-step explanation: