All categories

3 years ago

Nine months ago Alexa deposited $7,000 in a three-year CD. She has received $224.16 in interest.

Mathematics

1 answer:

kvasek [131]3 years ago

8 0

7000 + 224.16 = $7,224.16
This would the balance in her account.

You might be interested in

System OT W + b =13 6.5w + 2b = 57.5

mixer [17]

Answer: w = 7, x = 6

Step-by-step explanation: Solve by substitution

W + b = 13

rewrite as b = 13 - w and substitute that value for b in the second equation

6.5w + 2b = 57.5 Then solve for w

6.5w + 2(13-w) = 57.5 . Distribute

6.5w + 26 - 2w = 57.5 . Subtract 26 from both sides. Combine like terms and simplify

6.5w - 2w = 57.5 - 26

4.5w = 31.5 Divide both sides by 4.65

w = 7 . Substitute 7 for w in the first equation and solve for b

7 + b = 13 . Subtract 7 from both sides

b = 6

6 0

2 years ago

-3x minus 2 minus -6x = -4 minus -4x plus 12

DochEvi [55]

-3x-2-6x=-4-(-4x)+12

-9x-2=-16x+12

7x=14

x=2.

You probably got confused with the italicized part.

6 0

2 years ago

Solve the system equations and choose the correct ordered pair 3x+2y=12 6x+3y=21

Harrizon [31]

Answer:

(2, 3).

Step-by-step explanation:

3x+2y=12

6x+3y=21 Multiply the first equation by 3 and the second by 2:

9x + 6y = 36

12x + 6y = 42 Subtract:

-3x = -6

x = -6/-3 = 2.

Plug x = 2 into the first equation:

3(2) + 2y = 12

2y = 12 - 3(2)

2y = 6

y = 3.

6 0

2 years ago

How do you solve (2x-7)(5x+3)=0

sammy [17]

Step-by-step explanation:

First I do it as separate equations 2x-7=0 and 5x+3=0. In this equation you get two answers so you first answer 2x-7=0

2x-7=0

+7 +7

2x=7

/2 /2

x=7/2

Then do 5x+3=0

-3 -3

5x=-3

/5 /5

x= -3/5

Then you can check by putting them back in.

7 0

3 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

Let $\hat p$ = sample proportion

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = true proportion = 0.04

n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be less than 0.03 is given by = P( $\hat p$ < 0.03)

P( $\hat p$ < 0.03) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } }$ ) = P(Z < -1.27) = 1 - P(Z $\leq$ 1.27)

= 1 - 0.89796 = 0.10204

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0

2 years ago