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3 years ago

Will give brainliest to 1st

Mathematics

1 answer:

Alecsey [184]3 years ago

6 0

Answer:

x=10.5

Step-by-step explanation:

5(x+3)=(6)(12)-[.5(6)(12-x)]

5x+15=72-36+3x

reduce

2x=21

x=10.5

check

5(10.5+3)=(6)(12)-[.5(6)(12-10.5)]

52.5+3=72-4.5

reduce

67.5=67.5

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how much difference is there between investing $5,000 at 4% simple interest for 5 years and investing that same amount at 4% com

miskamm [114]

To find the difference between the tow investments we are going to use tow formulas. Simple interest formula for our simple interest investment, and compound interest formula for our compound interest investment.
- Simple interest formula: $A=P(1+rt)$
where
   $A$ is the final investment value
   $P$ is the initial investment
   $r$ is the interest rate in decimal form
   $t$ is the time in years
For our problem we know that $P=5000$ , $r= \frac{4}{100} =0.04$ , and $t=5$ , so lets replace those values in our simple interest formula to find $A$ :
$A=5000(1+(0.04)(5))$
$A=5000(1.2)$
$A=6000$

Now that we know the final investment value of our simple interest investment, lets use the compound interest formula to find the final investment value of the other one:
- Compound interest formula: $A=P(1+ \frac{r}{n})^{nt}$
where
   $A$ is the final investment value
   $P$ is the initial investment
   $r$ is the interest rate in decimal form
   $n$ is the number of times the interest is compounded per year
   $t$ is the time in years
For our problem we know that $P=5000$ , $r= \frac{4}{100} =0.04$ , and $t=5$ . Since we know that the interest is compounded quarterly (each 4 months), it mean that is compounded $\frac{12months}{4months} =3$ times per year, so $n=3$ . Now that we have all the vales, lets replace them in our formula:
$A=5000(1+ \frac{0.04}{3} )^{(3)(5)}$
$A=5000(1+ \frac{0.04}{3} )^{15}$
$A=6098.95$

now that we know the final amounts of our investments, lets find how much difference is between them:
$6098.95-6000=98.95$

We can conclude that the difference between invest $5000 in a compound interest investment vs a simple interest investment is $98.95.

5 0

4 years ago

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3 0

3 years ago

I really need help with answering A and B

ikadub [295]

A.) 200cm
B.) 206cm

A explanation.) To find the mean, you add all the heights and divide by 5 (how many numbers there are), this gives you 1000 divided by 5, which equals exactly 200cm.

B explanation.) I tried the equation with numbers higher than 202, going up one each time, and 206 was the one that equaled exactly 201.

7 0

4 years ago

A December 2009 poll asked a random sample of people whether they thought their country was heading in the right direction. Each

choli [55]

Answer:

This would be test of independence because it contain only one sample test

Step-by-step explanation:

Test of independence determine two factors are independent or not

For example

if we do a test of independence

null hypothesis : H 0: Being a cell phone user while driving and receiving a speeding violation are independent events. If the null hypothesis were true, we would expect about 28 people to use cell phones while driving and to receive a speeding violation.

Therefore in the given question Each respondent answer that it might be in "Right Direction " or "Wrong Direction".

So it is a independent test.

8 0

3 years ago

What is the value of y, if 3+12(y-4)=40?

creativ13 [48]

3 + 12 (y-4) = 40 *Use distribution* 3 + 12y - 48 = 40 *combine like terms* -45 + 12y = 40 * what you do to one side of the equation you have to do to the other side -45 +12y = 40 +45 +45 ----------------------- 12y = 85 *now you divide to isolate variable* 85 ------- = 7 12 Y =7

4 0

4 years ago