All categories

2 years ago

You invest $4000 at 7% compounded weekly for 4 years. How much is the investment worth at the end of the 4 years?

Mathematics

1 answer:

Licemer1 [7]2 years ago

6 0

Answer:

$5291.52

Step-by-step explanation:

So... the equation is f(x) = P(1+r/n)ⁿᵗ where r is the rate, n is the number of times compounded in a year, and t is time in years

if you plug the numbers in, you get (4000)(1+.07/52)^(4×52), which gives you $5291.52

You might be interested in

Each week mrs endo bikes 0.86 mile to the garden. Then she bikes 2.3 miles along the river back home. About how many miles will

MAXImum [283]

Answer: 164.32 miles

Step-by-step explanation:

Given that:

Weekly coverage :

Miles biked to the river = 0.86 miles

Miles biked along the river back home =. 2.3 miles

Total miles biked weekly:

(0.86 + 2.3) miles = 3.16 miles weekly

Number of weeks per year = 52

Miles biked yearly : (number of weeks per year * miles biked weekly)

= 52 * 3.16 miles

= 164.32 miles

Mrs endo will bike about 164.32 miles in a year.

3 0

3 years ago

Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

7 0

3 years ago

The number of hours a typical student spends per week at school has an Order of Magnitude of 1.

Margarita [4]

If the number of hours in school each week is somewhere between 20 and 40, then it can be written in scientific notation as
2.0×10¹ to 4.0×10¹

The exponent of 10 in each case is 1, so we can say the Order of Magnitude is 1.
TRUE

_____
In Engineering terms, the order of magnitude is sometimes considered to be the integer part of the base-10 logarithm of the number.
log(20) ≈ 1.3010
log(40) ≈ 1.6021
If we round these numbers to integers, we find the order of magnitude of the first is 1; the order of magnitude of the second is 2. Thus a student who spends 6 hours per day for 5 weekdays in class will have hours with an order of magnitude of 1, while a student who spends 7 hours per day for 5 days each week will have hours with an order of magnitude of 2. This question is best answered by considering "order of magnitude" in the simplistic terms of the answer above: the exponent of 10 in scientific notation.

8 0

3 years ago

In Need of help please Help :c

Oksanka [162]

Answer:

proportional: A, B, D, G, I
non-proportional: C, E, F, H

Step-by-step explanation:

Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.

C has an initial value of 7

E has a y-intercept of -3

F has an initial value of 2.00

H has an initial value of 5

All of these are non-proportional. The remainder are proportional.

3 0

2 years ago

What type of polynomial is 2x+10

Romashka-Z-Leto [24]

AnswerAnswer:

Binomial

Step-by-step explanation:

there are 2 terms

Have a great day!

If it helped mark me as brainliest!

6 0

2 years ago

Read 2 more answers