how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent

Answers

Answer 1

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)


Related Questions

Explain the difference between a polygon that is regular and a polygon that is not regular

Answers

Regular polygons have equal sides

Irregular polygons have unequal sides

Answer:

regular polygons have sides and interior angles that are the same and irregular polygons have sides and interior angles that are different

Step-by-step explanation:

PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE

Answers

Answer:

7

Step-by-step explanation:

As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.

7 being your answer.

Answer:

7

Step-by-step explanation:

Given the recursive formula.

[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]

Use it to determine the value of te third term.

[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]

Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batter. if she uses six cups of flour, how many cups of sugar should she use?

Answers

Answer:

4 cups of sugar

Step-by-step explanation:

2 x 2 = 4

Toya will use 4 cups of sugar.

there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.

Answers

Answer:

35 : 28

Step-by-step explanation:

Check the attachment.

help please will mark brainliest ​

Answers

Answer: 450

Step-by-step explanation:

Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain​

Answers

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Start out by simplifying the distributive property on the left hand side.

[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Combine like terms on the left hand side.

[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

Simplify the left hand side.

[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]

Subtract 2 both sides.

[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]

[tex]\implies-10 =\dfrac{-5x}{4}[/tex]

Use cross multiplication.

[tex]\implies-10 \times 4 =-5x[/tex]

[tex]\implies-40 =-5x[/tex]

Divide -5 both sides.

[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]

[tex]\implies 8=x[/tex]

Thus, the value of x is 8.

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]

Multiply both sides by 3:

[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]

Multiply both sides by 4:

[tex]\implies -8(x+12)+8x=-15x+24[/tex]

Expand brackets:

[tex]\implies -8x-96+8x=-15x+24[/tex]

Combine like terms:

[tex]\implies -96=-15x+24[/tex]

Add 15x to both sides:

[tex]\implies 15x-96=24[/tex]

Add 96 to both sides:

[tex]\implies 15x=120[/tex]

Divide both sides by 15:

[tex]\implies x=8[/tex]

Given that y is inversely proportional to ( x + 7) and that y = 5 when x = 2,express y in terms of x..... Please help

Answers

Answer:

like if it's rere it's ree duh awsee a

Which is the best estimate of the capacity of a bathtub? A. 5 milliliters B. 50 milliliters c. 5 liters D. 50 liters​​

Answers

Answer:

D 50 liters

Step-by-step explanation:

mL is really small amount so it not A or B. 5 L is like 5 bottles which wont fill it up much so lets take out C. the answer left out is D 50 L which is the answer

Please help l just don’t understand new topic

Answers

Perimeter is found by adding all sides. And since you’re given the perimeter just do it backwards. X+x+y+y=48.

Consider the table of the powers of 8.

A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.

Answer these questions about the powers of 8.



What is the pattern as the exponents decrease?

What is the value of each variable in the table?
a =
b =
c =

Answers

What is the pattern as the exponents decrease?

Divided by 8

What is the value of each variable in the table?

A= 1

B=1/8

C=1/64

Hope this helped!

Pls consider me for Brainliest!!

Answer:

Step-by-step explanation:

Answer these questions about the powers of 8.

What is the pattern as the exponents decrease?

✔ divided by 8

What is the value of each variable in the table?

a =

✔ 1

b =

✔ 1/8

c =

✔ 1/64

The figure shows the dimensions of a room. How much carpet is needed to cover its floor? 15 ft 10 ft​

Answers

Answer:

150 ft² of carpet is needed

Step-by-step explanation:

Dimensions of the floor :

15 ft (length)10 ft (width)

∴ Area of carpet required = Area of floor

Area of floor

length x width15 ft x 10 ft150 ft² of carpet is needed
Length=L=15ftWidth=B=10ft

Area:-

Length×widthLB15(10)150ft^2

The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.

What is the width of the rectangle? Remember that a measurement can only be positive.

Enter your answer in the box.

Answers

Answer:

I think the answer is 15 but I am not sure hoping this helps good luck

Answer:

its 13

Step-by-step explanation:

Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.

Answers

Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.

Carter says that 0.08 is equivalent to 8/10. Describe and correct Carter's error

Answers

Answer:

Step-by-step explanation:

If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8.  Carter misplaced his decimal point.

PLEASE HELP WILL GIVE BRAINLIEST!!!!​

Answers

The equation is

4x - 3 = 5
4x - 3 + 3 = 5 + 3
4x = 8
4x / 4 = 8 / 4
x = 2

Select three ratios that are equivalent to 7:6,

Answers

Answer: 12:14 21:18 42:36

Pythagorean Theorem. Show your work.

Answers

Step-by-step explanation:

First you do 2 squared plus 5 squared since it is A and B

2² + 5² = 29

Then you square root 29

which is 5.385164807 or 5.4 when you round

If the value of a is 8 in f(x)=ax^2 what does the graph look like?

A) a parabola that opens down
B) a parabola that opens up
C) a parabola that opens left
D) a parabola that opens right

Answers

Answer:

B

Step-by-step explanation:

Graphs with x^2 look like a U shape as the negative x values will still result in a positive y value since a negative squared is a positive.

Share OMR 120 in the ratio 1.5 : 0.5​

Answers

Answer:

90:30 is the answer

only if we use over 2

What is the distance between the points (7,4) and (4,4)

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (7,4)~ \text{and}~ (x_2,y_2)=(4,4)\\\\\text{Distance,}~ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{(7-4)^2+(4-4)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{3^2}\\\\~~~~~~~~~~~~~~~~=3[/tex]

$52 lunch; 2.5% tax what is the answer

Answers

Answer:

$53.30

Step-by-step explanation:

2.5% of 52 is 1.3

1.3 + 52 = 53.30

hope this helped :)

Answer:

$53.30

Step-by-step explanation:

Cost of lunch : $52

Tax : 2.5%

Divide the tax (2.5%) by 100

2.5 ÷ 100 = 0.025

Multiply 0.025 by the cost of the lunch ($52) to get the sales tax.

52 × 0.025 = 1.3

Now, add 1.5 (sales tax) with 52 (cost of lunch).

52 + 1.3 = 53.30

So, the total cost of the lunch + tax is $53.30.


Hope this helped !

Which quadratic equation is equivalent itto * (x - 4) ^ 2 - (x - 4) - 6 = 0 ?

Answers

Answer:

[tex]x2 - 9x + 14 = 0[/tex]

Step-by-step explanation:

x2 - 9x + 14 = 0

Help I need answer now
X=?

Answers

Answer:

0.6

Step-by-step explanation:

I used 30 60 90 triangle.

please help I can't find the mean

Answers

Answer:

add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0 + 5 + 6 + 7 + 7 = 25

25/5 = 5

dialations he said she said answer key

Answers

Answer: What?

Step-by-step explanation:

What is the slope of the given line? (Use only whole numbers or fractions to answer)

What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)

Answers

Answer:

answer is -1/2

have a nice day

If the original price of an item on a sale was $21 and this price was reduced by 20% for the sale what is the price in the sale?

Answers

Answer:

$16.8

Step-by-step explanation:

Discount amount

21 x .2 = 4.2

Discount

21 - 4.2 = 16.8

Answer:

16.8

Step-by-step explanation:

Drag and drop the angle pairs to correctly match their
description
vertical angles
complementary
angles
supplementary
angles
adjacent angles
that are neither
complementary nor
supplementary

Answers

What are you dragging so I can help?

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

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