what principle will amount to $4000 if invested at 8.5% compounded quarterly for 5 years?

Answers

Answer 1

Answer:

$2626.75

Step-by-step explanation:

First, let's set up the equation for this: [tex]4000 = P(1 + \frac{0.085}{4})^{4(5)}[/tex]

Now, we can simply divide [tex]\frac{4000}{(1+\frac{0.085}{4})^{20} }[/tex]

and we get P ≈ $2626.75


Related Questions

Does (84,-7) has one, two or no solution?

Answers

Answer:

No sollution

Step-by-step explanation:

It simple

Solve for x and y. The triangles in each pair are similar​

Answers

Answer:

x=13.69

Step-by-step explanation:

154/30=5.13

33*5.13

plugin

13.69

write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist. thank

Answers

The graph is showing the equation of circle x²+y²=4

What is a circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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Warren's Scores
Absolute Deviation from Mean Score
mean - individual score
0
25
15
10
20
30
10
15
5
25
20
15
20
5

Answers

50 dollars is on Emma's way

Step-by-step explanation:

Not math is free okay but only mathematics is free

given the right triangle ABC, find tan A​

Answers

The tangent is the ratio of the perpendicular and the base of the right triangle. Then tan A will be x/y.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right-angle triangle ΔABC is given.

The angle ∠C is 90°.

And the perpendicular is x, the base is y, and the hypotenuse is z.

Then the value of the tangent of angle ∠A will be

The tangent is the ratio of the perpendicular and the base of the right triangle.

tan A = x/y

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A record store has 3,108 records evenly shared among 6 rows. How many records are in each row?

Answers

Answer:

518

i don't know if this needs much explaining.

Answer:

518 records per row

Step-by-step explanation:

Divide to find out how many are in each row :

No. of records / No. of rows3,108 / 6518 records per row

I need help please ASAP??!!

Answers

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go


4). How many ounces are in 3.5 pounds?
Hint: 16 ounces = 1 pound
3.5
a) 4.6 ounces
19.5 ounces X16
c) 50 ounces
d) 56 ounces
3

Answers

it would be d 56 ……..

Answer:

there are 56 ounces in 3.5 pounds.

What is the circumference of the circle shown in terms of pi?

Answers

Answer:

10πcm

Step-by-step explanation:

radius of the circle= 5cm

circumference of a circle has the formular

= 2πr

= 2×π×5

then In terms of pi

= 10πcm


Number 5 please i need your help

Answers

Answer: a) 7mm  b) 18mm  c) 49mm

Step-by-step explanation:

There are 10 mm in 1 cm, so to find how many mm the measurements are, multiply the measurement in cm by 10.

a) 0.7 cm

0.7 cm x 10 mm per cm = 7 mm

b) 1.8 cm

1.8 cm x 10 mm per cm = 18 mm

c) 4.9 cm

4.9 cm x 10 mm per cm = 49 mm

James sees a truck at the dealership for $50,000
base price, $1,400 premium interior, $1,700
navigation touch-screen, and $2,200 smart
traffic sensors. If his current vehicle is worth
$5,000 and he's offered a 80% trade-in rate,
what is the total cost of the car after the $1,200
destination fee?
A. $41,900
B. $52,500
C. $51,500
D. $56,500

Answers

The total cost of the car after the $1,200 destination fee is B. $52,500.

How to calculate the total cost?

To calculate the total cost of the car after the trade-in rate and the destination fee, we shall subtract the trade-in value from the total price of the new car, and then add the destination fee.

Given:

Base price of the car = $50,000

Premium interior = $1,400

Navigation touch-screen = $1,700

Smart traffic sensors = $2,200

Total price before the trade-in

= $50,000 + $1,400 + $1,700 + $2,200 = $55,300.

The trade-in rate = 80% of the trade-in value, which is $5,000.

So, the trade-in value = 80% * $5,000 = $4,000.

Subtract the trade-in value from the total price:

$55,300 - $4,000 = $51,300.

Finally, add the destination fee of $1,200 to the destination fee:

Total cost of the car = $51,300 + $1,200

= $52,500.

Therefore, the total cost of the car after the $1,200 destination fee is $52,500.

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A square+B square=What
Pls Help me ​

Answers

A²+B²

The general algebraic identity is

A²+B²=(A+B)²-2AB

Lets derive

(A+B)²-4ABA²+B²+2AB-2ABA²+B²

Hence verified

HELP PLEASE!!!! What is the product? Assume x> 0. ( square root of 3x + square root of 5) ( square root of 15x + 2 square root of 30)

Answers

Answer:

3x√5 + 5√3x + 6√10x + 10√6 (Option 2)

Step-by-step explanation:

Applying the distributive property :

⇒ (√(3x) + √5)(√(15x) + 2√30)

⇒ √(3x)√(15x) + √5√(15x) + √(3x)(2√30) + √5(2√30)

⇒ √45x² + √75x + 2√90x + 2√150

3x√5 + 5√3x + 6√10x + 10√6

Let's see

(√3x+√5)(√15x+2√30)√3x(√15x+2√30)+√5(√15x+2√30)√45x^2+2√90x+√75x+2√150√9×5x²+2√(9×10)x+√25×3x+2√1503x√5+6√10x+5√3x+10√6

Option B

1
Select the correct answer.
If function g has the factors (x-7) and (x + 6), what are the zeros of function g?
OA.
-7 and 6
OB. -6 and 7
OC. 6 and 7
OD. -7 and-6
Reset
xt

Answers

The zeroes of the function g will be 7 and negative 6. Then the correct option is B.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

If function g has the factors (x-7) and (x + 6).

Then the zeros of function g will be

For the zeroes of the function, then put the factors equal to zero. Then we have

x - 7 = 0  and  x + 6 = 0

    x = 7  and         x = -6

Then the zeroes of the function g will be 7 and negative 6. Then the correct option is B.

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HELP!!! NEED ANSWER IN 5 MINUTES A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 16 slips at random and looks at them.​

Answers

Answer:

[tex]\sf \dfrac{1}{2}[/tex]

Step-by-step explanation:

Results from the slips of paper:

yes = 8no = 8

Total slips of paper = 16

[tex]\sf Proportion = \dfrac{part}{whole}[/tex]

[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

There are 16 responses

There are 8 people who said yes

P( happy) = yes/  total

P(happy) = 8/16 = 1/2

A ______ is sometimes a rectangle

1: parallelogram
2: rhombus
3: square
4: trapezoid

Answers

Answer:

A square is sometimes a rectangle, but a rectangle is never a square.

help will mark Brainliest!!​

Answers

Answer:

8/9n - 3

Step-by-step explanation:

The answer is 8/9n - 1 1/3.

Explanation:

When multiplying a fraction by a whole number, you multiply the numerator by the whole number. In this case, doing so would result in 8/9n. Because the same principle would apply for the other part of the equation, we can do 4/9 x -3 to get -12/9. -12/9 is improper, so we could standardize it to get the equation’s expression in simplified form. -12/9 simplified is -1 1/3. The answer would be 8/9n - 1 1/3 because when there is a negative factor, the expression becomes a subtraction problem. Thus, your equation is 8/9n - 1 1/3.

Frank bought a pair of gloves for $9.95 and a hat for $5.25. What is the best estimate of much he spent?
$15.00
$10.00
$5.00
$25.00

Answers

Answer:

$

15.00

Step-by-step explanation:

Round the costs of the gloves and hat. $9.95 is very nearly $10. And even though $5.25 is over $5 , it is still very close. $10+$5 is $15. This is the estimate.

3x + 2 = 14
Which number makes the equation true?

1
2
2
4
6

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4[/tex]

Reflect (8-7) across the -axis.
Then reflect the result across the -axis again.
What are the coordinates of the final point

Answers

If the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)

Reflection of coordinate

If the coordinate (x, y) is reflected over the x-axis, the resulting coordinate will be at (x,-y).

Given the coordinate point (8, -7), if the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)

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In the diagram, the height of the cone is 3 times the
radius. The volume of the cone is 343 Pie cm^3?. What is the
height of the cone?

Answers

Answer:

height = 21 cm

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

h = 3rVolume = 343π cm³

Substituting given values into the formula and solving for r:

[tex]\implies \sf 343 \pi=\dfrac{1}{3} \pi r^2(3r)[/tex]

[tex]\implies \sf 343=\dfrac{1}{3}\cdot3r^3[/tex]

[tex]\implies \sf 343=r^3[/tex]

[tex]\implies \sf r=\sqrt[3]{343}[/tex]

[tex]\implies \sf r=7\:cm[/tex]

As h = 3r, substitute found value of r into the equation and solve for h:

[tex]\implies \sf h = 3r[/tex]

[tex]\implies \sf h=3(7)[/tex]

[tex]\implies \sf h=21\:cm[/tex]

what is 750× 2
what is the square root of 90​

Answers

750 multiplied by 2 is 1500
Square root of 90 can be written as 3 multiplied by Square root of 10

A. 0.31
B 0.52
C 0.56
D 0.26​

Answers

Answer:

0.56

Step-by-step explanation:

Books cost $6.95 each. Mary had a $5 bill,a$1 bill.and 3 dimes.How much more money does she need to buy one book?

Answers

Answer:

$0.65

Step-by-step explanation:

Given:

Books cost $6.95 each.

Mary had a $5 bill, a $1 bill, and 3 dimes.

To Find:

How much more money does she need to buy one book?

Solve:

Add all Mary money:

5+1+.30

6+.30

=6.30

Now subtract the book cost  by Mary total money.

$6.95-$6.30

=$.65

Hence, Mary needs .65 cents to buy one book.

Kavinsky

Answer: 65 cents 0.65

Step-by-step explanation:

$5 + $1=$6

3dimes= 30 cents

$6 + 30 cents=$6.30

$6.95-$6.30=0.65

* PLEASE HELP *

4
If f (x) = 3(x+5) +-, what is f(a+ 2)?
7
4
O A. 31a + 7) +
a +2
4
B. 347(a) + 5) +
f (a) + 2
C. 3(a + 2) + 2+2
-
a

Answers

Answer:

C is the only correct answer

Can someone pls help me ! 20 points

Answers

Yes,1/2 of an answer is zero answer.

A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ... square centimeter
20
165
95
25
70

Answers

answer is 95
TSA=1/2Pl+B

Answer:

95

Step-by-step explanation:

Surface Area :

⇒ Area (4 triangle faces) + Area (square base)

⇒ 4 x 1/2 x 5 x 7 + (5)²

⇒ 2 x 35 + 25

⇒ 70 + 25

95 square centimeters

Find the area of the figure below by first finding the areas of the rectangle and triangles.
Area of the rectangle:

Area of the triangle on the left:
Area of the triangle on the right:
Area of the figure:

Answers

a. The area of the rectangle: 16 units²

b. The area of the triangle on the left: 6 units²

c. Area of the triangle on the right: 10 units²

d. Area of the figure: 32 units²

What is the Area of a Rectangle and a Triangle?Area of a rectangle = (l)(w)Area of a triangle = 1/2bh

a. l = 4 units

w = 4 units

Area of the rectangle = (4)(4) = 16 units²

b. b = 3 units

h = 4 units

Area of the triangle on the left = 1/2(3)(4) = 6 units²

c. b = 5 units

h = 4 units

Area of the triangle on the right = 1/2(5)(4) = 10 units²

d. Area of the figure = 16 + 6 + 10 = 32 units²

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Answer:

a: 16

b: 6

c:10

d: 32

Step-by-step explanation:

explained already <3


Work out 3 1/2 x 1 3/7, giving your answer in its simplest form?

Answers

let's firstly convert the mixed fractions to improper fractions and then get their product.

[tex]\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{7}}\implies \cfrac{1\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{10}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\cdot \cfrac{10}{7}\implies \cfrac{7}{7}\cdot \cfrac{10}{2}\implies 1\cdot 5\implies 5[/tex]

Joaquin estimates his score on his science test. Joaquin's estimate has a 3% error. His actual score on the science test is 91. What could be Joaquin's estimate? Choose all the correct answers. please go to the pic for the answer

Answers

Joaquin's estimate for his score on the science test can either be 93.73 or 88.27.

What is the estimate on the science test?

Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.

Estimate of the score can either be greater than or less than 91.

Score estimate = (1.03 x 91) or (0.97 x 91) = 93.73 or 88.27.

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