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3 years ago

What is the gear ratio of a 10 tooth gear driving a 40 tooth gear?

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

Answer:

Step-by-step explanation:

40/10=4

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Seth has a bank account which pays 1.01% interest, compounded quarterly. Seth withdraws $4,567 from the account every quarter fo

dimulka [17.4K]

Answer:

C. $538,021.66

Step-by-step explanation:

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r = $\frac{0.0101}{4}$ = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

$P=\frac{r \times PV}{1-(1+r)^{-n}}$

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives, $PV=\frac{P \times [1-(1+r)^{-n}]}{r}$

i.e. $PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-0.7021]}{0.002525}$

i.e. $PV=\frac{4567 \times 0.2975}{0.002525}$

i.e. $PV=\frac{1358.68}{0.002525}$

i.e. $PV=538,091.08$

So, the closest answer to initial value of the account is $538,021.66

Hence, option C is correct.

6 0

3 years ago

Read 2 more answers

$4 is what percent of $50 ? show work

hoa [83]

The answer would be 8 although, if you have to show work I can't help you.. I'm trying to help but I haven't learned percentage yet so I am using my percentage calculator.

7 0

2 years ago

Please anybody help me ASAP

Yuki888 [10]

Answer:

4 cents

Step-by-step explanation:divide 2 dy 5 to get the unit price hope this helps god bless

8 0

3 years ago

W over 3< 1 or 3w+5>11

s344n2d4d5 [400]

Step-by-step explanation:

$\dfrac{w}{3}6\qquad\text{divide both sides by 3}\\\\\dfrac{3w}{3}>\dfrac{6}{3}\\\\w>2\\\\$

$\text{If is}\ \bold{OR},\ \text{then}:\\\\w2\Rightarrow w\in\mathbb{R}\ /\text{any real number/}\\\\\text{If there is a mistake, and it should be}\ \bold{AND},\ \text{then}:\\\\w2\Rightarrow 2$

4 0

3 years ago

If a quadratic equation has 4-i as a solution, what must the other solution be?

Luden [163]

Answer:

4+i

Step-by-step explanation:

A complex number usually took the form a+bi where a and b are real numbers and 'i' represents an imaginary number. For a quadratic equation, the complex roots for the root of a quadratic equation took the form known as complex conjugates. The complex conjugates are formed by changing the sign of the imaginary part.

SO, if a quadratic equation has 4-i as a solution, the other solution must be 4+i.

6 0

2 years ago