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2 years ago

what interest rate is needed to turn $2500 into $15,000 in 14 years if interest is compounded weekly?

Mathematics

1 answer:

Anastasy [175]2 years ago

7 0

Answer:

0.6845% per week.

Step-by-step explanation:

Simple Interest Calculation A = P(1 + rt)

Solving our equation:

r = (1/730.5)((15000/2500) - 1) = 0.00684463

r = 0.00684463

Converting r decimal to R a percentage

R = 0.00684463 * 100 = 0.6845%/week

Calculating the annual rate

0.6845%/week × 52 weeks/year = 35.594%/year.

The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.

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Solve using logs 5^(3x-6)=125

Hitman42 [59]

$5 ^{3x-6} =125 \\ \\ 5 ^{3x-6} =5^3 \\ \\3x-6 =3 \ \ |+6 \\ \\3x=3+9 \\ \\3x=12 \ \ /:3 \\ \\x=\frac{12}{3} \\ \\x= 3$

3 0

2 years ago

Work out the volume of the prism (answer in 1 decimal place)

Artyom0805 [142]

Answer:

Volume of the Prism = $204 cm^3$

Step-by-step explanation:

Volume of the right triangular prism= $\frac{1}{2}*Length*Width*Height$

Length=8.5 cm

Width= 6 cm

Height= 8 cm

Putting the values in the formula:

Volume of the prism :

$\frac{1}{2}*8.5*6*8\\\\=\frac{1}{2}*8.5*48\\\\ =\frac{1}{2} *408\\\\=204cm^3$

The volume of the Prism is $204 cm^3$

4 0

2 years ago

use symbols to compare the numbers 512 and 521. write the comparison to ways. then explain your thinking

Morgarella [4.7K]

Solution:- Given numbers to compare are 512 and 521 .

As they are 3 digit numbers

So, we have to compare hundreds place.

But hundreds are equal in both the numbers with digit 5.

Next we have to compare tens place.

Case 1 :- 1 ten is smaller in 512 than 2 tens in 521 .

So we get the result that,

512 is smaller than 521

or <em> 512 < 521</em>

Case 2:-2 tens is greater in 521 than 1 ten in 512 .

So we get the result that,

521 is greater than 512

or <em> 521 > 512</em>

8 0

3 years ago

Your friend’s heart beats 18 times in 15 seconds when at rest. While running, your friend’s heart beats 25 times in 10 seconds.

Aleks [24]

72 times at rest and 250 while running.

5 0

3 years ago

PLEASE HELP ME I BEG

Kay [80]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = csc²x

Consider the left side

$csc^{4}$ x - $cot^{4}$ x

Factorise as a difference of squares

= (csc²x - cot²x)(csc²x + cot²x)

= (1 + cot²x - cot²x)(csc²x + cot²x)

= csc²x + cot²x

= csc²x + csc²x - 1

= 2csc²x - 1 = right side ⇒ verified

8 0

2 years ago