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emmasim [6.3K]
3 years ago
12

Although retirement is far in your future, it is important to start planning early.

Mathematics
2 answers:
Kitty [74]3 years ago
7 0

Answer: True

Step-by-step explanation: It's important to start early because of compound interest. Compound interest works better when you have a long period of time to compound the money. For example, if you were 9% on your money, your money will double every 8 years.

nydimaria [60]3 years ago
3 0

Answer: I would say true.

explanation: Because planning on where you want to work you’ll want to see all the benefits and things you’ll be getting into.

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a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take
Serga [27]

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

8 0
4 years ago
Read 2 more answers
Breann solved the system of equations below. What mistake did she make in her work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 −
goldfiish [28.3K]

Answer:

No mistake

Step-by-step explanation:

2x + y = 5

x - 2y = 10

y = 5 - 2x

x - 2(5 - 2x) = 10

x - 10 + 4x = 10

5x - 10 = 10

5x = 20

x = 4

2(4) + y = 5

y =  -3

She made no mistake

You can check by plugging in x = 4 and y = -3 into the original equations . They fit exactly.


5 0
4 years ago
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
Naya [18.7K]
It's a geometric sequence.

4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n

It's the sum for term 4 through term 15.

 \boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}
8 0
3 years ago
0=p-27h/17+h solve for p
shutvik [7]

Answer: The answer is p=10h/17.

Step-by-step explanation: You'll need to solve for p by simplifying the both sides of the equation, and then isolating the variable.

3 0
3 years ago
What is the ratio of x to y 14x = 25y
IgorLugansk [536]
14:25
x:y

i hope this helpss
7 0
4 years ago
Read 2 more answers
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