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xxTIMURxx [149]
3 years ago
13

A bank offers a four year cd with an interest rate of 2.75%. The penalty for early withdrawal from the CD is nine months of simp

le interest, calculated on the amount withdrawn. Rachel invests $6,200. If she withdraws $2250 after one year, how much will the penalty be? Round answer to the nearest dollar.
Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

The penalty will be $46

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the amount withdrawn

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=9/12\ years\\ P=\$2,250\\r=0.0275

substitute in the formula above

I=2,250(0.0275)(9/12)

I=\$46

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A student says that a correlation coefficient of −0.93 indicates that the two quantities of a data set have a weak correlation.
zloy xaker [14]

Answer:

Step-by-step explanation:

Recall that correlation coefficients range from -1 to +1.  So, -0.93 is a strong negative relationship.  Two interpretations:  1) the correlation is actually very strong, and 2) the correlation is negative.  When the correlation is negative, the dependent variable DECREASES when the independent variable INCREASES.

8 0
3 years ago
Solve the system of equations.<br> <img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3D220x-160%7D%20%5Catop%20%7By%3
Leni [432]

\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}

\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill

4 0
2 years ago
Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
3 years ago
4a + 3 = 15<br> What does (a) equal
olga2289 [7]
4a + 3 = 15
- 3
4a = 12
÷ 4
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I hope this helps!
5 0
3 years ago
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natita [175]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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