To save money you set aside $50. For each following month you set aside 10% more than the previous month.How much money will you save in a year? Explain each step.

Answers

Answer 1
Answer: A lot :) hahdinshsiskvshsknsvsudkdnhdjdjdd

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A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitchers mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of pie and include all necessary calculations.

One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers. a. Calculate 312⋅12% without using a calculator. Show your work.

b. What question about the Gooey Gushers can you answer by calculating 312⋅12%?

Answers

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

=(12* 312)/(100)

=(3744)/(100)

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

Jamie borrowed $361.75 from his uncle,who has agreed to charge him a monthly
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.

Answers

He pays 370.28125.

What is Simple Interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given:

Jamie borrowed =  $361.75

Simple interest = 2.5%

As, Simple interest is not compounded.

so,

361.75 x 1.025

=370.28125

Hence, he pays 370.28125.

Learn more about simple interest here:

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Answer:

Jamie will pay back a total of 370.79

Step-by-step explanation:

361.75 x 1.025

Simple interest is not compounded so just multiply the borrowed amount by

1 + .025

Which statement is true about this argument?Premises:

If two angles form a linear pair, then they are supplementary.

If two angles are supplementary, then the sum of their measures is 180∘.

Conclusion:

If two angles form a linear pair, then the sum of their measures is 180∘.


A The argument is valid by the law of detachment.

B The argument is valid by the law of syllogism.

C The argument is not valid because the conclusion does not follow from the premises.

D The argument is not valid because the premises are not true.

Answers

Answer:

the answer is: The argument is valid by the law of syllogism.

Step-by-step explanation:

thanks for the wrong answer other guy.

Final answer:

The argument mentioned in the question is valid by the Law of Syllogism in mathematics, which says that if 'if p then q' and 'if q then r' are two implications then 'if p then r' can be deduced from them.

Explanation:

In the context of this question, the correct answer would be (B) The argument is valid by the law of syllogism. The Law of Syllogism states that if we have two conditionals, 'if p then q' and 'if q then r', and and q is the same in both, then we can deduce a new conditional 'if p then r'.

In this case:

  • 'p' is 'two angles form a linear pair'
  • 'q' is 'they are supplementary'
  • 'r' is 'the sum of their measures is 180∘'

So, 'if p then q' is 'If two angles form a linear pair, then they are supplementary', 'if q then r' is 'If two angles are supplementary, then the sum of their measures is 180∘'. Therefore, we can deduce the new conditional 'If two angles form a linear pair (p), then the sum of their measures is 180∘ (r)', which is the conclusion mentioned.

Learn more about Law of Syllogism here:

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Please help ! Thanks

Answers

Answer: 12x - 24y - 2

Step-by-step explanation:

Answer:

12x-24y-2

Step-by-step explanation:

So, we multiple all the values in the bracket with six to get something like this:

(6*2x)+(6*-4y)+(6*-(1)/(3) )\n= 12x + (-24y) + (-2)\n= 12x -24y -2

HELP!! Monette began heating a liquid with a starting temperature of 62.5°F. The temperature increased by 5° per minute.

What is the recursive rule that represents this situation?\
an=
a1=

Answers

Greetings!

Answer:

an = 65 + 5_(n - 1)

a1 = 65

Step-by-step explanation:

If the begining value is 65, then a1 has to be itL

a1 = 65

Then, if this amount increased every minute then 5 has to be added to this value each time:

an = 65 + 5

But this means that 5 is added to 65 every time with no increase, so the five must me multiplied by the n value:

an = 65 + 5_(n)

a2 = 65 + 10 = 75

But this value should be 70 because it is the first point after 65 so it should be +5 not +10

To do this we can simply subtract one from the n value that is being multiplied by 5:

an = 65 + 5_(n - 1)

Which is the recursive rule!


Hope this helps!



Can you help me to do this please?Determine the inverse of the h(x)

Answers

Answer:

h^(-1)(x)=x^3+6x^2+12x+7

Explanation:

Given the below function;

h(x)=\sqrt[3]{x+1}-2

We'll follow the below steps to determine the inverse of the above function;

Step 1: Replace h(x) with y;

y=\sqrt[3]{x+1}-2

Step 2: Switch x and y;

x=\sqrt[3]{y+1}-2

Step 3: Solve for y by first adding 2 to both sides;

\begin{gathered} x+2=\sqrt[3]{y+1}-2+2 \n x+2=\sqrt[3]{y+1} \end{gathered}

Step 4: Take the cube of both sides;

\begin{gathered} (x+2)^3=(\sqrt[3]{y+1})^3 \n (x+2)^3=y+1 \end{gathered}

Step 5: Expand the cube power;

Recall;

(a+b)^3=a^3+3a^2b+3ab^2+b^3

Applying the above, we'll have;

\begin{gathered} (x+2)^3=y+1 \n x^3+3x^2\cdot2+3x\cdot2^2+2^3=y+1 \n x^3+6x^2+12x+8=y+1 \end{gathered}

Step 6: Subtract 1 from both sides of the equation;

\begin{gathered} x^3+6x^2+12x+8-1=y+1-1 \n x^3+6x^2+12x+7=y \n \therefore y=x^3+6x^2+12x+7 \end{gathered}

Step 7: Replace y with h^-1(x);

h^(-1)(x)=x^3+6x^2+12x+7