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olya-2409 [2.1K]
3 years ago
12

If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest shou

ld be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91
Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

<em>Answer:</em>

<em />

<em>C.) $6,584.91</em>

<em></em>

<em>Step-by-step explanation:</em>

<em />

<em>Amount earned in compound interest = P(1 + r)^n; </em>

<em>where P is the principal, </em>

<em>r is the rate and n is the number of periods.</em>

<em />

<em> </em>

<em>Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = </em><u><em>$6,584.91</em></u>

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Solve for A if F=MA and F=10 and M=2.5
gogolik [260]

Answer:

\boxed{\sf A = 4}

Given:

F = MA

F = 10

M = 2.5

To Find:

Value of A

Step-by-step explanation:

\sf Substituting \ values \ of \ F \ and \ M \ in \ F = MA:

\sf \implies 10 = 2.5A

\sf \implies 2.5A = 10

\sf Dividing \ both \ side \ of \  2.5A = 10 \ by \ 2.5:

\sf \implies \frac{2.5}{2.5} A  =  \frac{10}{2.5}

\sf \frac{2.5}{2.5}  = 1 :

\sf \implies  A  =  \frac{10}{2.5}

\sf \frac{4 \times  \cancel{2.5}}{ \cancel{2.5}}  = 4 :

\sf \implies A = 4

3 0
4 years ago
Read 2 more answers
Encuentra la pendiente de la recta formada por los puntos A( 3 , -2 ) Y B( -5 , 3 )
QveST [7]

Answer:

\frac{5}{-8} or -0.625

Step-by-step explanation:

The slope formula is as shown:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1}}

We can have A = (x_{1},y_{1}) and B = (x_{2},y_{2}).

We can hence plug in the values into the formula to get m=\frac{3-(-2)}{-5-3}.

As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

m=\frac{5}{-8}

Brainliest would be appreciated!

3 0
3 years ago
5(t - 3) -2t = -30 what is the answer?
maxonik [38]

Answer:

t = -5

Step-by-step explanation:

Solve for t:

5 (t - 3) - 2 t = -30

Hint: | Distribute 5 over t - 3.

5 (t - 3) = 5 t - 15:

5 t - 15 - 2 t = -30

Hint: | Group like terms in 5 t - 2 t - 15.

Grouping like terms, 5 t - 2 t - 15 = (5 t - 2 t) - 15:

(5 t - 2 t) - 15 = -30

Hint: | Combine like terms in 5 t - 2 t.

5 t - 2 t = 3 t:

3 t - 15 = -30

Hint: | Isolate terms with t to the left hand side.

Add 15 to both sides:

3 t + (15 - 15) = 15 - 30

Hint: | Look for the difference of two identical terms.

15 - 15 = 0:

3 t = 15 - 30

Hint: | Evaluate 15 - 30.

15 - 30 = -15:

3 t = -15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 t = -15 by 3:

(3 t)/3 = (-15)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

t = (-15)/3

Hint: | Reduce (-15)/3 to lowest terms. Start by finding the GCD of -15 and 3.

The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:

Answer: t = -5

5 0
4 years ago
Read 2 more answers
A person is watching a boat from the top of a lighthouse. The boat is approaching
Lapatulllka [165]

9514 1404 393

Answer:

  445.10 feet

Step-by-step explanation:

The relation between angle of depression and distance to the boat is ...

  Tan = Opposite/Adjacent

  tan(angle of depression) = (200 ft)/(distance to boat)

Then the distance to the boat is ...

  distance to boat = (200 ft)/tan(angle of depression)

__

We want the change in distance between the two angles, so ...

  change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')

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7 0
3 years ago
What is the inverse of x^2-4x+5
lisabon 2012 [21]

we are given

f(x)=x^2-4x+5

Since, we have to find inverse of this function

step-1: we set f(x)=y

y=x^2-4x+5

step-2: switch x and y

x=y^2-4y+5

step-3: Solve for y

y^2-4y+(5-x)=0

now, we can use quadratic formula

y=\frac{4+\sqrt{4^2-4(5-x)} }{2}

f^{-1}(x)=\sqrt{x-1}+2

or

f^{-1}(x)=-\sqrt{x-1}+2..............Answer

6 0
3 years ago
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