Hannah wants to have $ 7500 to help pay for a new deck in 13 years. If she wants to put her money into an account earning 7% interest compounded continuously, how much should she invest now, so that she will have $ 7500 in 13 years?

Answers

Answer 1

Answer:

$ 3,018.93

Step-by-step explanation:

This question is asking us to find the Principal.

Hence, the formula for compound interest that is compounded continuously is :

A = Pe^rt

P = Principal/Initial amount

A = Amount after investment = $7500

r = Interest rate = 7% = 0.07

t = time in years = 13 years

Hence,

7500 = Pe^0.07 × 13

P = 7500/e^0.07 × 13

P = 7500/e^0.97

P = $3018.9316803

Approximately P (The amount that should be invested ) = $3,018.93


Related Questions

For the inequality y < 8 which statement best describes the graph?
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
There would be a horizontal solid line on (0,8) and shading would occur above the line.
There would be a vertical dotted line on (8,0) and shading would occur to the right of the line
There would be a vertical solid line on (8,0) and shading would occur to the left of the line.

Answers

Answer:

There would be a horizontal dotted line on (0,8) and shading would occur below the line.

I just took the test and got it right :) hope this helps!

For the given inequality, the best describes the graph is that there would be a horizontal-dotted line on the point (0, 8) and shading occurred below the line. Hence, option A is correct.

What is a graph?

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

When the is made, there is the shaded area provided that is made due to intersection of lines and the area below the both the lines and the common that is said to be the shaded area.

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Solve for m. -5m=-35 m=

Answers

Answer:

m = 0

Step-by-step explanation:

Solve: Add -35m to -5m

-5m = -35m

+35m

30m = 0 *note: its okay to have 0 in this spot*

divide 0/30

m=0 because you can't divide by 0

The value of m is 7 for the given statement -5m = -35.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an expression

-5m = -35

Divide by -5 on both sides

m = 7

Therefore, For the given expression -5m = -35 the value of m is 7.

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PLZ ANSWER WILL GIVE BRAINLIST 15 POINTS AND PLUS THREE FOR CORRECT ANSWER!!!!!!

Answers

Answer:

22

Step-by-step explanation:

just simple deduction

i think 22 i’m not positive

When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.

Answers

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

PLEASE!! For 22 points!!

Write the equation of the line that passes through the points (-4,-4) and (6,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y = 3/5x + 3/5.

Step-by-step explanation:

the /'s are division symbols.              3            3

                                                  y =     _   +       _

                                                           5            5

Let g be a polynomial function of x where g(x) = 2x^3+ 3x^2-5x-6 . If (x+2) is a factor of g, write an equation for g as the product of linear factors

Answers

Answer:

[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]

Step-by-step explanation:

Given polynomial [tex]g[/tex]:

[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]

A factor of polynomial is [tex](x+2)[/tex].

To find:

Equation of the polynomial as the product of linear factors.

Solution:

First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.

As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.

That quadratic will have 2 solutions.

Solving the quadratic in linear will give us the answer.

Result of division:

[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]

Now, solving the quadratic:

[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]

So, the linear equation can be written as:

[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]

zero is an integer?​

Answers

Answer:

yes it is because 0-4 is an integer

Step-by-step explanation:

Answer:

yes, it is also a whole number.

Step-by-step explanation:

Hope this helps and have a good day! :)

slope intercept
y= 1/2x + 2

Answers

Don't know exactly what you're asking, but I think you're asking what the slope and what the y-intercept is.

1/2x is the slope

Positive 2 is the y-intercept

it y because of the equation mx +b and b is y

is 0.25 greater than 3/8

Answers

Answer:

no 0.250 is not greater than 3/8

Step-by-step explanation:

because when you make 3/8 into a decimal it becomes 0.375 so no

Answer:

No. 0.25 is not greater than 3/8

Step-by-step explanation:

Convert 3/8 to a decimal.

1/8 = 0.125 in decimal form.

Multiply this by 3.

3/8 = 0.375.

0.375 > 0.250

Your answer will be 0.25 < 3/8

Which property is used in the following expression ? 8(2 + 7) = 16 + 56

Answers

I need pints im so sorryy

Answer:

Distributive property

Step-by-step explanation:

Your Turn (Activity 3): Calculate the LCM of 54 and 90​

Answers

Answer:

270

Step-by-step explanation:

Secant and Tangent Angles in circles.
Solve for x.

Answers

Answer:

x = 1

Step-by-step explanation:

5x + 17 = 1/2[(73x + 5) - (23x - 5)]

5x + 17 = 1/2[37x + 5 - 23x + 5]

5x + 17 = 1/2[14x + 10]

5x + 17 = 1/2 * 2(7x + 5)

5x + 17 = 7x + 5

5x - 17x = 5 - 17

-12x = - 12

x = - 12/-12

x = 1

A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,

∠WVU = (arc WU + arc WU)/2

5x + 17 = [(37x + 5) + (23x - 5)]/2

2(5x + 17) = (37x + 5) + (23x - 5)

10x + 34 = 37x + 5 + 23x - 5

10x - 37x - 23x = 5 - 5 - 34

-50x = -34

x = 34/50

x = 17/25

Hence, the value of x is 17/25.

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The drama club spent $8.50 per person on food for a cast party. The total cost of the food was $229.50. How many people were at the cast party?
A. 27 people
B. 221 people
C. 238 people
D. 1,951 people

Answers

$229.50/$8.50
= 27
27 people

Answer:

27

Step-by-step explanation:

btw just goo. gle the first 5 words with " at each end and it gives you the answer :)

not guaranteed, some dont have

A person can pay $24 for a member to the art museum and then go to the art museum can make for a total cost of 44$ ?

Answers

Answer:

tyhjhngbfr

Step-by-step explanation:

gbftrfedvgbhnjyh yeet

How to solve 25= 4+ 7x

Answers

Answer: x =3

Step-by-step explanation:

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 28 seconds to complete the check-out process. If it takes 48 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased?​If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased?​ If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 48 seconds to complete a transaction, how many products are being purchased?​

Answers

Answer:

a) 4 products

b) 10 products

Step-by-step explanation:

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 28 seconds to complete the check-out process.

For 1 product, the total time =

5 seconds + 28 seconds = 33 second.

We can derive an equation

Total time of transaction = 5x + 28

Where x is the number of products you are selecting

a) If it takes 48 seconds to complete a transaction, how many products are being purchased?

Total time = 5x + 28

48s = 5x + 28

5x = 48 - 28

5x = 20

x = 20/5

x = 4 items

b) If it takes 80 seconds to complete a transaction, how many products are being purchased?

Total time = 5x + 28

80s = 5x + 28

5x = 80 - 28

5x = 52

x = 52/5

x = 10 items

In whole number = 10 items

Darryl wants to improve the food at his restaurant, Downtown Deli, by purchasing some new items to sell. He wants to save as much money as possible. First, Darryl is pricing brands of gourmet pickles. What is the unit price for each brand of pickle? Brand A: Brand B: Brand C: Brand D:

Answers

Answer:

Brand A: $0.40

Brand B:  $0.30

Brand C: $0.25

Brand D: $0.20

Answer:

Step-by-step explanation:

1. 0.40

2. 0.30

3. 0.25

4. 0.20

Kyle missed 3 questions on the math exam. If he missed 15% of the questions, how many questions were on the exam all together?

Answers

Step-by-step explanation:

consider the number of Q = X

then 15% × X = 3

then (15 ÷100) X = 3

X = 3 × ( 100÷ 15 ) = 20 Q ( :

6- 4(2r - 5) < 26 - 8r
This is algebra

Answers

Answer:

r>1

Step-by-step explanation:

6-4(2r-5)<26-8r do () first

6-8r+20<26-8r subtract 6 from both sides

-8r+20<20-8r Since this is the same on both sides, r>1 to make the equation not come out as 0

To convert 564 kL to mL, you move the decimal point _____ places to the _____. i need help ASAP please!

Answers

Answer:

6 places to the right....

If x varies directly as y. Find x when y = 1 if x= 12 when y= 4

Answers

Step-by-step explanation:

x/y=constant

12/4=3

x/1=3

x=3

Here, if x varies directly as y. When y=1, then x=3.

Given that, x varies directly as y.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

If x= 12 when y= 4

Here, x varies directly as y is x∝y

⇒ x=ky

⇒ 12=k(4)

⇒ k=3

So, x=3y

When y=1, we have

x=3(1)

⇒ x=3

Here, if x varies directly as y. When y=1, then x=3.

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Can you help with this problem

Answers

Answer:

The value of w is 3.

Step-by-step explanation:

Parallelograms have equal opposite side measures.

so,

6w = w +15

6w - w = 15

5w = 15

w = 3

Answer:

w=3

Step-by-step explanation:

The opposite arms of parallelogram are equal

So the equation is

6w=w+15

=>6w-w=15

=>5w=15

=>w=15/5

Therefore

w=3

If you find my answer helpful.then please mark me as brainliest

(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?​
PLZ HELP WILL GIVE BRANLIST

Answers

Answer:

25

Step-by-step explanation:

so lets write our ratios.

Students that wear glasses to the whole class:

2 : 5

Students that wear glasses to those that dont:

2 : 3

And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be

10 : 15

10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.

Need help on 7-8, thank you in advance! :)

Answers

Answer:

7)

a. y = 1/3x - 2

b. m = 1/3, b = -2

8.

a. y = -1/3x -5

b. m = -1/3, b = -5

Step-by-step explanation:

7.

2x - 6y = 12

-6y = -2x + 12

y = 1/3x - 2

8.

x + 3y = -15

3y = -x - 15

y = -1/3x -5

c.

The last time Aiden played baseball, he hit the ball 35% of the times he was at bat. Based on this information, how many times will Aiden hit the ball the next time he plays baseball if he is at bat 20 times?

Answers

Answer:

the number of times  will Aiden hit the ball is 7

Step-by-step explanation:

The computation of the number of times will Aiden hit the ball is shown below:

She hit 35% of the times

i.e.

= Given percentage of number of times

= 35% of 20

= 35 ÷ 100 × 20

= 0.35 × 20

= 7

Hence, the number of times  will Aiden hit the ball is 7

We simply applied the above formula so that the correct value could come

The same is to be considered

scientific notation for 1.0 ×10^6​

Answers

Answer:

1000000

Step-by-step explanation:

I'm not sure what you meant by "scientific notation". So uhh, I only solved the 1.0 times 10^6,

10^6=10×10×10×10×10×10

10^6=1000000

(Fun fact. If you ever see a power of 10, you don't actually need to solve it. Look at the power, and add the same amount of 0's. For example 10^2. Power sign is 2. 2 trailing 0's.)

I have to order it from least to greatest in absolute value, and i dont get it can anyone help?

Answers

Answer:

ight A on top since it's the cmallest followed by B,C,D,E

Step-by-step explanation:

What is the slope of y = 4x? *

Answers

Please Brainliest me!

The slope of y=4x is 0,4 PLEASE BRAIN ME!

Fifteen more than the square of a number is eight times the number.​

Answers

the answer to this question is 79

Answer: n = 3 or 5

n^2+15=8n

Or,

n2 - 8n + 15 = 0

(n - 3)(n - 5) = 0

So n is 3 or 5.

Factoring Polynomials Completely

Answers

The answer would be

(x+2)

The first option

Factoring [tex]6x^2+7x-10[/tex]

gives us:

[tex]\left(6x-5\right)\left(x+2\right)[/tex]

so we know that the first option,

one of the factors is (x+2) is correct.

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