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2 years ago

Interest = $821.25, time = 1 year, rate = 12.42%. Find the principal

Mathematics

1 answer:

marta [7]2 years ago

4 0

Step-by-step explanation:

P = l.100/t.r = $821.25×100/12.42×1 = $6612.318

hope this helps you.

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Find the distance between the points (-8, -3) and (-2, 5). Hint: Use the Pythagorean theorem.

Drupady [299]

Answer:

1/5

Step-by-step explanation:

Use Pythagoras theorem

5 0

2 years ago

Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

3 years ago

How would you convince a fellow student hat the number 0.57 is a rational number

Pavlova-9 [17]

Start by proving to them that the number 0.57 can be converted into a fraction . A whole number can't exactly be put in to a fraction. 0.57 can be converted to 14.25/25. This information means that 0.57 IS a rational number. Hope this convinced them!

4 0

3 years ago

Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?

Ksju [112]

Annual interest is P*r^t, r is 0.05 here, t is 9/12=3/4=0.75
P*0.05^0.75=120
use your calculaor: P= 120÷ (0.05)^0.75=1135
so he invested about 1135 dollars

3 0

3 years ago

Which of the following fractions will convert to terminating decimals?

valina [46]

Answer:

B and D

Step-by-step explanation:

A terminating decimal differs from a repeating decimal in that ; terminating decimals have a finite number of numbers after a decimal point whereby repeating decimals Don not have a fine number of numbers after the decimal point.

Given :

A. 2/7 = 0.2857...

B. 3/2 = 1.5

C. 2/3 = 0.6666...

D. 3/5 = 0.6

E. 5/9 = 0.5555...

B and D are terminating decimal values.

6 0

2 years ago