Please help me with this problem.

Please Help! Algebra 2!

eduard

Answer:

The interest rate of the account is $3\%$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=14\ years\\ P=\$1,863\\ A=\$2,830.97\\n=4$

substitute in the formula above and solve for r

$\$2,830.97=\$1,863(1+\frac{r}{4})^{4*14}$

$(2,830.97/1,863)=(1+\frac{r}{4})^{56}$

$(2,830.97/1,863)^{1/56}=(1+\frac{r}{4})$

$[(2,830.97/1,863)^{1/56}-1]=\frac{r}{4}$

$r=4*[(2,830.97/1,863)^{1/56}-1]\\ \\r= 0.03$

Convert to percent

$r= 0.03*100=3\%$

8 0

2 years ago

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

kirza4 [7]

Answer:

a

$P(X < 24 )= 21.186\%$

b

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

So

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

So

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

7 0

2 years ago

Asdasdasd

Amanda [17]

Answer: explanation

Step-by-step explanation:

1. answer:2592

explanation: it says to find the % of the small sample so 45 out of 75 is 60% then says to convert it into a decimal and multiply it by 4,320 which equals 2592.

2. answer:

explanation:540 is 12% of 4500. I don't quite understand what that number is but I'm assuming it's the percentage number and that number is 12 and that's 12% out of 100. if it means what percentage 540 is out of 100 then its 540%

3. answer:30
explanation: 4 out of 20 is 20% converted to decimal is 0.2 then multiply it by 15 0 and that adds to 30.

i hope this helped and i hope its correct

7 0

1 year ago

H + 169 = 759 solve for h

steposvetlana [31]

Answer:

h = 590

Step-by-step explanation:

To find x, rearrange the equation to where h is on its own side.

<u>Rearranged equation:</u>

$759 - 169 = h$

Since 169 added to h was to find 769, 169 subtracted from 759 represents h.

<u>Solve:</u>

$759 - 169 = 590$

590 = h.

5 0

2 years ago

You and your siblings are saving money to buy your parents an anniversary gift. You have already saved $50 and plan to save an a

ololo11 [35]

Answer:

The method we will use to solve applications with linear inequalities is very much like the one we used when we solved applications with equations. We will read the problem and make sure all the words are understood. Next, we will identify what we are looking for and assign a variable to represent it. We will restate the problem in one sentence to make it easy to translate into an inequality. Then, we will solve the inequality.

Step-by-step explanation:

The method we will use to solve applications with linear inequalities is very much like the one we used when we solved applications with equations. We will read the problem and make sure all the words are understood. Next, we will identify what we are looking for and assign a variable to represent it. We will restate the problem in one sentence to make it easy to translate into an inequality. Then, we will solve the inequality.

4 0

2 years ago