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svet-max [94.6K]

2 years ago

6

A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the

couple had paid $2,250
interest.
What was the length of the couple's loan?

2 answers:

Sholpan [36]2 years ago

8 0

Answer:

6 years

Step-by-step explanation:

t=2250/375

t=6

Hence time of the loan will be 6 years

galben [10]2 years ago

4 0

Answer:

6 years

Step-by-step explanation:

5000 x 0.075 = 375

2250/375 = 6

therfore it is 6 years worth of interest

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In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mea

Kazeer [188]

Answer:

$Mean = 344$

Step-by-step explanation:

Given

$Population = 1013$

Let p represents the proportion of those who worry about identity theft;

$p = 66\%$

Required

Mean of those who do not worry about identity theft

First, the proportion of those who do not worry, has to be calculated;

Represent this with q

In probability;

$p + q = 1$

Make q the subject of formula

$q = 1 - p$

Substitute $p = 66\%$

$q = 1 - 66\%$

Convert percentage to fraction

$q = 1 - 0.66$

$q = 0.34$

Now, the mean can be calculated using:

$Mean = nq$

Where n represents the population

$Mean = 1013 * 0.34$

$Mean = 344.42$

$Mean = 344$ (Approximated)

3 0

2 years ago

-5x-y= 8<br> -4x+y=2 solve the system

yan [13]

$\huge\fcolorbox{blue}{aqua}{Answer:}$

═════════════════════

1. $- 5x - y = 8$

<h3>Solve for x</h3>

$-5x-y=8$

$-5x=8+y$

$-5x=y+8$

$\frac{-5x}{-5}=\frac{y+8}{-5}$

$x=\frac{y+8}{-5}$

$x=\frac{-y-8}{5}$

<h3>Solve for y</h3>

$-5x-y=8$

$-y=8+5x$

$-y=5x+8$

$\frac{-y}{-1}=\frac{5x+8}{-1}$

$y=\frac{5x+8}{-1}$

$y=-5x-8$

────────────────────

2. $-4x-y=2$

<h3>Solve for x</h3>

$-4x-y=2$

$-4x=2+y$

$-4x=y+2$

$\frac{-4x}{-4}=\frac{y+2}{-4}$

$x=\frac{y+2}{-4}$

$x=-\frac{y}{4}-\frac{1}{2}$

<h3>Solve for y</h3>

$-4x-y=2$

$-y=2+4x$

$-y=4x+2$

$\frac{-y}{-1}=\frac{4x+2}{-1}$

$y=\frac{4x+2}{-1}$

$y=-4x-2$

════════════════════

Explanation:

#Carry on learning

7 0

2 years ago

Decide whether the equations is a trigonometric function identity, EXPLAIN.

hodyreva [135]

(1) Answer: Identity true

$\cos^2x(1+\tan^2x)=\cos^2x(1+\frac{sin^2x}{cos^2x})=\\= \cos^2x\frac{cos^2x+sin^2x}{cos^2x}=1$

(2) Answer: Identity true

$\sec x \tan x(1-\sin^2x)=\sin x\\\frac{1}{\cos x}\frac{\sin x}{\cos x}(\cos^2x)=\sin x\\\sin x = \sin x$

(3) Answer: Identity true

$\sin^2(\theta)\csc^2(\theta)=\sin^2(\theta)+\cos^2(\theta)\\\sin^2(\theta)\frac{1}{\sin^2(\theta)}=\sin^2(\theta)+\cos^2(\theta)\\1 = 1$

7 0

2 years ago

there are two boxes. in the first box there are 7 cards numbered from 1 tp 7 the second box also contains 7 cards from 1-7 pick

mrs_skeptik [129]

Answer:

$\frac{6}{49}$

Step-by-step explanation:

GIVEN: There are two boxes. in the first box there are $7$ cards numbered from $1$ to $7$ the second box also contains $7$ cards from $1-7$ pick one card from each box.

TO FIND: probability that the sum of the two two cards is at least $12$ .

SOLUTION:

sample case such that sum of cards is $12$ : $(5,7),(7,5),(6,6)$

sample case such that sum of cards is $13$ : $(7,6),(6,7)$

sample case such that sum of cards is $14$ : $(7,7)$

Total sample case such that sum is atleast $12$ $=6$

Total sample cases $=49$

probability that the sum of the two two cards is at least $12$ $=\frac{\text{sample case in which sum is atleast 12}}{\text{total sample cases}}$

$=\frac{6}{49}$

probability that the sum of the two two cards is at least $12$ is $\frac{6}{49}$

8 0

3 years ago

5.) Claire deposited $32 each week for 8 weeks. How much money did she deposit after 8

Ann [662]

ANSWER:

$256

EXPLANATION:

Deposited means to put in. So if Claire put in $32 each week for 8 weeks our work should look like this, 32 x 8. Withdrawal means to take out and we aren’t Withdrawing so our answer is $256

8 0

1 year ago