X = Harry's Age
Nick's age is 7x
In 6 years Harry is 7x+6, and Nick is 5(x+6)
7x+6=5x+30
2x+6=30
2x = 24
x = 12
Harry = 12 years old and in 6 years Harry will be 18.
5 • 30 = 150 5•5= 25 so 175x 175x / 5x = 35
Answer:
the answer is in the picture
Emma needs to invest $55,050.14.
<h3><u>Compound interest </u></h3>
Given that Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly, to determine how much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years, you should perform the following calculation:
- Principal amount x (1 + rate / number of annual compositions)^(years x number of annual compositions) = Interest
- X x (1 + 0.026/4)^(7x4) = 66000
- x x (1 + 0.0065)^28 = 66000
- x x 1.0065^28 = 66000
- x x 1.198907 = 66000
- X = 66000 / 1.198907
- X = 55050.14
Therefore, Emma needs to invest $55,050.14.
Learn more about compound interest in brainly.com/question/7420113
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