Zachary invested $5,300 in an account paying an interest rate of 9 % compoundedcontinuously. Peyton invested $5,300 in an account paying an interest rate of 85%

compounded quarterly. After 9 years, how much more money would Zachary have in

his account than Peyton, to the nearest dollar?

Answers

Answer 1

Answer:

After 9 years, Zachary has $615.2 more than Peyton in his account.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The equation is given as,

$\rm P=P_oe^(rt)$

Zachary invested $5,300 in an account paying an interest rate of 9 % compounded continuously. Then the amount is calculated as,

$\rm P = \$5,300 * e^((0.09* 9))\n$

P = $5,300 × 2.2479

P = $11,913.9

Peyton invested $5,300 in an account paying an interest rate of 85% compounded quarterly. Then the amount is calculated as,

$\rm A = \$5,300 * \left (1 + (8.5)/(400) \right )^(4 * 9)$

A = $5,300 × 2.1318

A = $11,298.7

The difference is given as,

D = $11,913.9 - $11,298.7

D = $615.2

After 9 years, Zachary has $615.2 more than Peyton in his account.

More about the compound interest link is given below.

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Answer 2

Answer:

Answer:625

Step-by-step explanation:

12048.7006-11423.8842

624.8164

$625

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The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.a. Which form of the null and alternative hypotheses most appropriate for this situation.b. Comment on the conclusion when H0 cannot be rejected.c. Comment on the conclusion when H0 can be rejected.
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It takes a graphic designer 1.5h to make one page of a website. Using a new software, the designer could complete each page in 1.25h, but it takes 8h to learn the software. How many web pages would the designer have to make in order to save time using the new software?

Answers

The number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

We can set up an inequality to represent this, where x represents the number of web pages made.

1.5x > 1.25x + 8

The time with the new software is represented by 1.25x + 8 and the normal time is represented by 1.5x. The number of hours spent using the old software must be 1.5 times greater than the time spent using the new product.

Solve for x:

1.5x > 1.25x + 8

0.25x > 8

x > 32

Therefore, the number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).

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Answer:

33 web pages (at least)

Step-by-step explanation:

We can set up an inequality to represent this, where x represents the number of web pages made.

1.5x > 1.25x + 8

1.5x represents the number of hours it will take normally, and 1.25x + 8 represents the time with the new software. 1.5x (amount of hours using old software) needs to be larger than the time it takes with the new software.

Solve for x:

1.5x > 1.25x + 8

0.25x > 8

x > 32

So, the designer would have to make at least 33 pages.

Determine the value of x

1)70
2)140
3)40
4)280

Answers

180-140= 40

Im not so sure of my answer so I might be wrong so enjoy!!

In isosceles triangle ∆ABC, BM is the median to the base AC . Point D is on BM . Prove the following triangle congruencies:∆ABD ≅ ∆CBD

Answers

Answer:

We know that triangle ABD and triangle CBD are congruent because of SAS.

Step-by-step explanation:

AB is congruent to BC because of the definition of an isosceles triangle

BD=BD because of the reflexive property

m<ABD=m<CBD because BM is the median of an isosceles triangle

Thus, triangle ABD is congruent to triangle CBD because of SAS

40% of the groups budget was spent on activities. If $64,000 was spent on the activities, what was the full budget? solve with the aid of a diagram. State what type of problem this is. if it's division, which type? Explain your reasoning, not just by using an equation.

Answers

Answer:

The full budget has a total value of $160,000

Step-by-step explanation:

This is a simple ratio problem and can be solved using the Rule of Three property. The Rule of Three is used to compare two ratios and find the missing part. In this case the ratios would be the following.

$(64,000)/(40 percent) = (x)/(100 percent)$

$(64,000 * 100 percent)/(40 percent) = \frac{x}$

$(6,400,000)/(40 percent) = \frac{x}$

$160,000= \frac{x}$

So now we know that 100% (The full budget) has a total value of $160,000.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Plz help me simply this

Answers

Answer:

Step-by-step explanation:

$\sqrt[5]{u^(10)*p^(15)}*\sqrt[4]{u^(16)*p^(18)}= \sqrt[5]{u^(2*5)*p^(3*5)}*\sqrt[4]{u^(4*4)*p^(16*2)}\n\n\n=\sqrt[5]{(u^(2))^(5)*(p^(3))^(5)}*\sqrt[4]{(u^(4))^(4)*p^(4*4)*p^(2)}\n\n=\sqrt[5]{(u^(2))^(5)*(p^(3))^(5)}*\sqrt[4]{(u^(4))^(4)*(p^{4)^(4)}*p^(2)}\n\n=u^(2)*p^(3) * u^(4)*p^(4)*\sqrt[4]{p^(2)}\n\n=u^(2+4)*p^(3+4)*\sqrt[4]{p^(2)}\n\n= u^(6)p^(7)\sqrt[4]{p^(2)}$