Using compound interest, it is found that he must invest his money at a rate of 8.78% a year.
<h3>What is compound interest?</h3>
The amount of money earned, in compound interest, after t years, is given by:
In which:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
In this problem, the parameters are as follows:
t = 3, A(t) = 60000, P = 46150.3, n = 12.
Hence:
![\sqrt[36]{\left(1 + \frac{r}{12}\right)^{36}} = \sqrt[36]{1.3}](https://tex.z-dn.net/?f=%5Csqrt%5B36%5D%7B%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5E%7B36%7D%7D%20%3D%20%5Csqrt%5B36%5D%7B1.3%7D)
r = 12 x 0.00731451758
r = 0.0878.
He must invest his money at a rate of 8.78% a year.
More can be learned about compound interest at brainly.com/question/25781328
Answer: There are 152 adults and 87 children.
Step-by-step explanation:
Let x= Number of adults
y= Number of children
As per given, we have
x+y = 239 (i)
15x+5.50y= 2758.50 (ii)
Multiply 5.50 on both sides of (i) , we get
5.50x+5.50y=1314.5 (iii)
Subtract (iii) from (ii), we get
9.5x = 1444
⇒ x = 152
Put value of x in (i) , we get
152+y=239
⇒ y= 239-152
⇒ y= 87
Hence, there are 152 adults and 87 children.
Supplementary angles add up to 180
so (2x + 3) + (3x + 2) = 180
.
<u>Solve x:</u>
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
.
<u>Find the angles:</u>
One angle = (2x + 3) = 2(35) + 3 = 73°
Other angle = (3x + 2) = 3(35) + 2 = 107°
.
Answer: The two angles are 73° and 107°
Is there an attachment? I can’t help.
Answer:
ok so do 11/4 then do 7/r and they need to be equal
Step-by-step explanation:
