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2 years ago

Write in standard form. 2.87 x 104 A.28,700 B. 0.000287 C. 2,870 D. 287,000

Mathematics

2 answers:

babunello [35]2 years ago

4 0

Just multiply 10 times 10 times 10 times 10 then multiply 2.87 and it’ll get you A, or just use Siri like me

Alborosie2 years ago

3 0

Answer:

Step-by-step explanation:

10^4 Basically means you move the number to the left 4 times.

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Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of t

LuckyWell [14K]

Answer:

D. $1000 - 100w \geq 500; w \leq 5$

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = $\textrm{Money withdrawn each week}\times w$

Total Money withdrawn in 'w' weeks = $100w$

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = $1000 - 100w$

Now, final amount must be greater than or equal to $500. So,

$\textrm{Final amount}\geq500\\\\1000-100w\geq500$

Therefore, the inequality that represents the inequality for the number of weeks Amy can withdraw money is:

$1000-100w\geq500$

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

$1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5$

Therefore, the correct option is (D).

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3 years ago

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gregori [183]

Answer:Where the graphs?

Step-by-step explanation:

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3 years ago

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Kipish [7]

Answer:

im not able to do that question it is confusing

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2 years ago

A student completes about 8 problems every 3 minutes. At this rate, how long will it take the student to complete 20 problems?

storchak [24]

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3 years ago

3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide

Blizzard [7]

Answer:

$274.22 per month
$2071.92 in total interest
$433.48 more per month
$1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

b) The total amount repaid is 36 times this monthly payment, so is ...

$274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

$9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

c) Changing the time period to 1 year gives the payment value ...

A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

$707.70 -274.22 = $433.48

You must pay $433.48 more each month.

d) Your total interest with the higher payments will be ...

$707.70×12 -7800 = $692.40

The difference in interest amounts is ...

$2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

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2 years ago