HELPP PLEASE

$870 is invested in an account earning 5.7% interest (APR), compounded quarterly.
Write a function showing the value of the account after t years, where the annual
growth rate can be found from a constant in the function. Round all coefficients in
the function to four decimal places. Also, determine the percentage of growth per
year (APY), to the nearest hundredth of a percent.

Answer:

Step-by-step explanation:

I want to say the 2nd one.

2nd and 4th one are equivalent to the initial equation but it asks for the expotential equation is equivalent so i figured the 2nd one has the exponents. Sorry can't be of more help. Thats the one i would choose.

Answer:

$1078

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Use the given information combine with the Pythagorean theorem to set up an equation. The Pythagorean theorem states that ([tex]a^2 + b^2 = c^2[/tex]), where (a) and (b) are the legs of the right triangle (sides that are adjacent to the right angle); and (c) is the hypotenuse (the side opposite to the right angle). Substitute in the given values in the problem,

[tex]a^2 + b^2 = c^2[/tex]

Substitute,

[tex]QO^2 + QP^2 = PO^2[/tex]

[tex]x^2 + 8^2 = (4+x)^2[/tex]

Simplify, distribute

[tex]x^2 + 64 = x^2 + 8x + 16[/tex]

Inverse operations,

[tex]x^2 + 64 = x^2 + 8x + 16\\-x^2\\\\64 = 8x + 16\\-16\\\\48 = 8x\\/8\\\\6 = x[/tex]

Answer:

Your total will be $64.19

Step-by-step explanation:

I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)

Answer:

Step-by-step explanation:

Answer:

f=7x g=3   x=18

Step-by-step explanation:

Answer:

First, find the area of the square.

Step-by-step explanation:

50.8 m

A=length x width

5.5 x 5.5= 30.25

Area of trapezoid= 1st base + 2nd base / 2 x height

8.2+5.5 /2 x 3=about 20.55

30.25+20.55 =50.8 m

Answer:

1001

Step-by-step explanation:

$2200/month&£-£+£+£

Answer:

Please post the figure

Step-by-step explanation:

Answer:

[tex]\dfrac{1}{27}[/tex]

Step-by-step explanation:

Given that,

a-b = 3

We need to find the value of [tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}[/tex].

We know that,

[tex]27=3^3\\\\9=3^2[/tex]

So,

[tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}=\dfrac{3^3^({\dfrac{1}{3}b})}{3^2^{\dfrac{1}{2}a}}\\\\=\dfrac{3^b}{3^a}[/tex]

We know that : [tex]\dfrac{x^p}{x^q}=x^{p-q}[/tex]

So,

[tex]\dfrac{3^b}{3^a}=3^{b-a}[/tex]

Since, b-a = -3. So,

[tex]3^{b-a}=3^{-3}\\\\=\dfrac{1}{3^3}\\\\=\dfrac{1}{27}[/tex]

So, the value of the given expression is equal to [tex]\dfrac{1}{27}[/tex].

Answer:

2.4

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Make a proportion (similar triangles):

(15) / (10+x) = 6/x

15x = 60 + 6x

9x = 60

x = 6.7

Answer:

sixty percent of 50 is 30. So i would say the first one. 30 dogs out of 50 animals.

Step-by-step explanation:

Answer:

A:

60 divided by 2          30

-----------------------    =  -------

100 divided by 2         50

Step-by-step explanation:

edge 2023

Answer:

1550 miles

Step-by-step explanation:

Let the distance from kim's house to NYC be KN

Let the distance from kim's house to LA be KL.

Translating the word problem into an algebraic expression, we have;

KN = KL + 100

KN + KL = 3000

To find the distance from kim's house to NYC, KN;

Substituting eqn 1 into eqn 2, we have;

KL + 100 + KL = 3000

2KL + 100 = 3000

2KL = 3000 - 100

2KL = 2900

KL = 2900/2

KL = 1450 miles

Next, we find the KN;

KN = KL + 100

KN = 1450 + 100

KN = 1550 miles

Therefore, the distance from kim's house to NYC is 1550 miles.

Step-by-step explanation:

You can call c the number of children and a of adults; you get:

5.20c+8.50a=1097.60

and

a=4c meaning that the number of adults was four times the children.

Substituting this value of a into the first equation we get:

5.2c+8.5(4c)=1097.6

5.2c+34c=1097.6

rearranging:

c=1097.639.2=28

and so:

a=4c=4⋅28

Answer:

Person A paints the house in 12 days.

person B paints the house in 60 days.

Step-by-step explanation:

The together rate is the sum of each separate rate.

Person A can paint the neighbor's house 5 times as fast as Person B.

This means that the rate of person A is 1/x, and the rate of person B is 1/5x.

The year A and B worked together, it took them 10 days.

This means that:

[tex]\frac{1}{x} + \frac{1}{5x} = \frac{1}{10}[/tex]

Multiplying everything by 10x

[tex]10 + 2 = x[/tex]

[tex]x = 12[/tex]

This means that:

Person A paints the house in 12 days.

person B paints the house in 60 days.

Answer:

(7,-3)

Step-by-step explanation:

Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.

Step-by-step explanation:

Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.

Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.

Question 3: Account B in 30 years would be 420.

Question 4: The approximate difference between the two accounts in 20 years would be 25.

Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.

Hope this helps

The simple interest and compound interest are solved for both the curves

a) The compound interest is growing fastest

b) the amount in Account A in 30 years A = $ 350

c) The amount in Account B in 30 years is B = $ 420

d) The difference between the two accounts in 20 years = $ 25

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the 2 curves be represented as A and B

Now , the amount invested by A = $ 200

The rate of simple interest = 2.5 %

And , the amount invested by B = $ 200

The rate of compound interest = 2.5 %

So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.

b)

The amount for A in 30 years is given in the graph

A = $ 350

c)

The amount for B in 30 years is given in the graph

B = $ 420

d)

The amount for A in 20 years is given in the graph = $ 300

The amount for B in 20 years is given in the graph = $ 325

The difference between the two accounts in 20 years = $ 325 - $ 300

The difference between the two accounts in 20 years = $ 25

Hence , the compound interest is solved

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ3

Answer:

195 m

Step-by-step explanation:

Both shapes follow the formula: A = bh

The Big Square:

15 x 15 = 225

The Small Square:

6 x 5 = 30

225 - 30 = 195

Answer:

Q1=19

Q3=38

IQR=19

Step-by-step explanation:

The degree of the function is the highest exponent, which is 5.

The y-intercept is the value when x=0, which is 0.

The function will have 5 zeros since there are 5 distinct factors.

The end behavior will approach negative infinity as x approaches negative infinity and positive infinity as x approaches positive infinity [since the degree is odd and the leading coefficient is positive].

The roots/zeros will be at 0, 5, 3, -2, -4 [setting each factor equal to 0]

Answer:

3 times 54 is 162.  It's impossible to understand your answer choices in the way they're showing up.  Can you send a picture?

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

2*43+4

86+4

90

Answer:

94

Step-by-step explanation:

43 +4 = 47

47 x2 = 94

Answer:

It is 8 years

Step-by-step explanation:

Answer:

Answer:

It is 8 years  

Step-by-step explanation:

Step-by-step explanation:

Answer:

Complementary angles

Step-by-step explanation:

When two angles add up to 90°, they are Complementary to each other.

Here, ∠DAB = 90° (right angles)

It means, ∠DAB = ∠BAE (vertically opposite angles)

Also, ∠BAE = a + b

So, a+b is equal to 90°. Hence, the correct option is (b) "Complementary angles".

Answer:

Step-by-step explanation:

4(2h+g)

8h + 4g

[tex]4(2h + g)[/tex], distribute by multiplying 4 × 2h = 8h and 4 × g = 4g

[tex]8h + 4g[/tex], final answer

hope this helps you understand :)