How many DVDs would they each have if they continued the same pattern for ten ADDITIONAL weeks.​

Answer:22215

Step-by-step explanation: got it from delta math

After 16 years Angel would have amount $22942 more money in his account than Jackson.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

Investment of Jackson, p = $81000

Rate of interest, r = 6 1/2%

⇒ [tex]6.5\% = 0.065[/tex]

Interest is compounded monthly, so n = 12

Number of years, T = 16

Investment of Angel, p = $81000

Rate of interest, r = 7 1/8%

⇒ [tex]7.125\% = 0.07125[/tex]

Interest is compounded quarterly, so n = 4

Number of years, T = 16

The formula of amount in compound interest is

[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]

Jackson's amount after 16 years,

⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]

⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]

⇒ [tex]A=81000(1.0054)^{192}[/tex]

⇒ [tex]A=81000(2.8123)[/tex]

⇒ [tex]A=227798.13[/tex]

Angel's amount after 16 years,

⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]

⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]

⇒ [tex]A=81000(1.0178)^{64}[/tex]

⇒ [tex]A=81000(3.0955)[/tex]

⇒ [tex]A=250739.62[/tex]

After 16 years, how much more money would Angel have in his account than Jackson is

⇒ [tex]250739.62-227798.13[/tex]

⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]

Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.

Learn more about compound interest here

https://brainly.com/question/13155407

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Answer:

c = 53 yd is the answer.

Step-by-step explanation:

a = 45 yd

b = 28 yd

c = ?

According to the Pythagorean Theorem,

a² + b² = c²

45² + 28² = c²

2025 + 784 = c²

c² = 2809

c = 53 yd

∴ The dog runs 53 yd

Answer:

D=1/2

Step-by-step explanation:

Multiply the numbers

Subtract the numbers

Combine like terms

put 1/2 to the two parts of the equation

last but not least, simplify

Answer:

D) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:

The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.

Answer:

OD) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:I took the test

Answer:

67,600

Step-by-step explanation:

Answer:

A=3

B=-9

C=4

Hope this helps ^^

Answer:

i think its =y7x-4

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The slope is going to be associated with an “x” and we know that the slope equals -7 so it’s important to add the NEGATIVE sign.

Also, the x-intercept is POSITIVE. It won’t be A because their x-intercept is negative. It won’t be C because their slope is positive. It won’t be D. because they didn’t put -7 as a slope.

That's the answer

x = - 1/22

Answer:

Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Step-by-step explanation:

H0 : σ² = 2.66²

H1 : σ² < 2.66²

X²c = (n - 1)*s² ÷ σ²

sample size, n = 40

Sample standard deviation, s = 1.9

X²c = ((40 - 1) * 1.9²) ÷ 2.66²

X²c = 140.79 ÷ 7.0756

X²c = 19.897

Using a confidence level of 95%

Degree of freedom, df = n - 1 ; df = 40 - 1 = 39

The critical value using the chi distribution table is 25.6954

Comparing the test statistic with the critical value :

19.897 < 25.6954

Test statistic < Critical value ; Reject the Null

Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Answer:

128

Step-by-step explanation:

The colon is the symbol ":". It is used in a number of different ways in mathematics. 1. To denote ratio or odds, as in 2:1 (voiced "two to one").

Do this help?

Answer:

85

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Find the length of the hypotenuse of the right triangle with sides 9 and 6

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]

Use c and the height 2 to find the hypotenuse of the triangle with the dotted line

[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]

the dotted line is 11

Answer:

a) The 95% confidence interval estimate of μ is (39.35, 42.5).

b) Second-year students tend to procrastinate more than first-year students

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 69 - 1 = 68

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 68 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9955

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.9955\frac{6.85}{\sqrt{69}} = 1.65[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 41 - 1.65 = 39.35

The upper end of the interval is the sample mean added to M. So it is 41 + 1.65 = 42.65

The 95% confidence interval estimate of μ is (39.35, 42.5).

b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?

The confidence interval for second-year students had higher values both at the lower and the upper end of the interval, which means that they tend to procrastinate more than first-year students

Answer:

X = 3

Step-by-step explanation:

Answer:

= 2

Step-by-step explanation:5x+15=75-25x

We move all terms to the left:

5x+15-(75-25x)=0

We add all the numbers together, and all the variables

5x-(-25x+75)+15=0

We get rid of parentheses

5x+25x-75+15=0

We add all the numbers together, and all the variables

30x-60=0

We move all terms containing x to the left, all other terms to the right

30x=60

x=60/30

x=2

Answer:

A

Step-by-step explanation:

look it carefully.

Answer:

1. AC=EC=120 ft

2. Given as perpendicular

3. BC=CD

4. Perpendicular means 90° from the bridge

5. Area of Triangle same

Answer:

2.52

Step-by-step explanation:

5x + 15.5 = 28.1

subtract 15.5 from both sides

5x = 12.6

divide both sides by 5

x = 2.52

Answer:

x=2.52

Step-by-step explanation:

28.1 = 15.5 + 5x

(take 15.5 from both sides)

28.1-15.5=15.5-15.5+5x

12.6=5x

(Divide both sides by 5)

12.6/5=5x/5

2.52=x

Answer:

B) 8 miles

Step-by-step explanation:

30 mins is half an hour. And she ran 4 miles if you multiply both then you get 8 miles in 1 hour.

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5

Answer:

322. So this is correct or wrong

Answer:

AAAAAAA!!!!!

Step-by-step explanation:

Answer:

x=3.85

brainliest plssssssss

Step-by-step explanation:

Question:

x+3.6= −4.75

Step 1:

Subtract  3.6 from both sides of the equation

x+3.6-3.6=-4.75-3.6

Step 2:

Subtract the Numbers and simplify

x=3.85

Answer:

33%

Step-by-step explanation:

Answer:  80 + 2L*L = 26*L

Step-by-step explanation: