PLEASE HELP!!!!!

A total of $4000 is invested: part at 8% and the remainder at 14%. How much is invested at each rate if the annual interest is $

skelet666 [1.2K]

Answer:

$2000 is invested at 8%

$2000 is invested at 14%

Step-by-step explanation:

A total of $4000 is invested part at 8% and the remainder at 14%

Annual interest is $440.

Simple interest formula;

I = P × R × T

Where I is the interest, P is the principal, R is the rate and T is the time.

P = $4000

R = 8% and 14%

T = 1 year

I = $440

Let's say $a is invested at 8% and;

$b is invested at 14%

Then,

($a × $\frac{8}{100}$ × 1 ) + ($b × $\frac{14}{100}$ × 1) = $440

and

$a + $b = $4000

This forms a simultaneous equation;

0.08a + 0.14b = 440 ... (i)

a + b = 4000 ... (ii)

Multiplying (i) by 1 and (ii) by 0.08 we get;

0.08a + 0.14b = 440 ... (i)

0.08a + 0.08b = 320 ... (ii)

Subtracting (i) - (ii) we get;

0 + 0.06b = 120

0.06b = 120

b = 120 ÷ 0.06 = 2000

So amount invested at 14% ($b) = $2000 and,

The amount invested at 8% ($a) = $4000 - $2000 = $2000

7 0

3 years ago

How would adding a score of zero affect the mean and mediam game scores

Nimfa-mama [501]

Answer:

Here is the complete question attached with.

The mean score would decrease more than the median score.

Step-by-step explanation:

The numbers for which we have to find the mean and median are:

$60,70,80,80,100$

Here the mean, $\frac{Sum\ of\ all\ observations}{Number\ of all\ observations} =\frac{60+70+80+80+100}{5} =78$

Median, $=80$ as median is the middle term if the observations are arranged in ascending order.

Now as the question says that we have to add a zero to see its effect.

So adding a zero we have

Mean $=\frac{0+60+70+80+80+100}{6} =65$

Median $= \frac{70+80}{2} =75$ ,as number of observations is even terms so we will add two middle numbers and divide it with $2$ .

So we can conclude that the mean is having more variation than the median.

Mean shows as variation of $78-65=13$ where as Median shows a variation of $80-75=5$ only.

So our final answer is option D that is "The mean score would decrease more than the median score."

8 0

3 years ago

Duane and mick are saving their money to build a tree house.Duane adds $5 to their piggy bank every other week.Mick adds $2 ever

miss Akunina [59]

2 + 7 + 2 + 7 + 2 + 7 + 2 + 7 + 2 + 7 = 45
7 = 5 + 2
10 weeks

they have been saving their money for 10 weeks

6 0

3 years ago

Read 2 more answers

A researcher works on a study that has a population standard deviation of 0.73a sample mean of 84.5 and a sample size of 60 .Wha

Firlakuza [10]

Answer:

$ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

The critical value can be founded in the normal standard distribution table using the value of $\alpha/2 =0.025$ and we got $z_{\alpha/2}=1.96$ . Replacing the info given we got:

$ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185$

Step-by-step explanation:

For this case we have the following info given:

$\sigma = 0.73$ represent the population deviation

$\bar X = 84.5$ represent the sample mean

$n =60$ represent the sample size

And we want to find the margin of error for a confidence level of 95%. So then the significance level would be $\alpha=1-0.95 = 0.05$ and $\alpha/2 =0.025$ . The margin of error is given by:

$ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

The critical value can be founded in the normal standard distribution table using the value of $\alpha/2 =0.025$ and we got $z_{\alpha/2}=1.96$ . Replacing the info given we got:

$ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185$

6 0

4 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

melamori03 [73]

Answer: 5x 5y

Step-by-step explanation: because of the length

4 0

3 years ago