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horrorfan [7]
3 years ago
10

At what interest rate (to the nearest hundredth of a percent) compounded annually will money in savings double in five years?

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0
For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.

If we want the final value F to double in 5 years, F is then equal to P then n=5. The equation is now:

2P=P(1+i)^5
2=(1+i)^5
i=14.87% per year
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Work out the formula for the nth term of the<br>quadratic sequence:<br>5, 11, 19, 29​
Sladkaya [172]

Answer:

n squared + 3n + 1

Step-by-step explanation:

5,11,19,29

Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.

8 0
2 years ago
Solve the inequality for x. 75+15x is greater than or equal to 140
Gre4nikov [31]
75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

The final answer is x ≥ 4 1/3~
8 0
3 years ago
Use the formula to find the slope of the line that passes through these two points. Show your work.
Dafna1 [17]

Answer:

Solution given:

(x_1,y_1)=(1,2)

(x_2,y_2)=(7,7)

now

slope:\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{7-1}=\frac{5}{6}

Slope: 5/6

6 0
2 years ago
Need help on my math test. Any Answers?
nasty-shy [4]

Answer:

use symbolab

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Mitch completes the course and his boss promotes him. Mitch receives a 25% increase on his previous pay of $40 000 per year afte
kolezko [41]

Before her promotion, Mitch was receiving $40,000 per year after tax. Since the loan payment is 4%, therefore the money that goes to the loan is:

Loan payment = $40,000 * 0.04

Loan payment = $1,600

 

After her promotion, Mitch is now receiving:

 New salary = $40,000 * 1.25

New salary = $50,000

Therefore the new loan payment becomes:

New loan payment = $50,000 * 0.04

New loan payment = $2,000

 

Therefore Mitch is paying an extra payment of:

$2,000 - $1,600 = $400

 

Answer: $400

4 0
3 years ago
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