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4 years ago

15

Solve for F in terms of K:

title="K=\frac{5}{9}(F+459.67)" alt="K=\frac{5}{9}(F+459.67)" align="absmiddle" class="latex-formula">

2 answers:

Pepsi [2]4 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

Multiply both sides by 9 to eliminate the fraction

9K = 5(F + 459.67) ← divide both sides by 5

F + 459.67 = $\frac{9}{5}$ K ( subtract 459.67 from both sides )

F = $\frac{9}{5}$ K - 459.67

oee [108]4 years ago

3 0

Answer:

$\large\boxed{F=1.8K-459.67}$

Step-by-step explanation:

$\dfrac{5}{9}(F+459.67)=K\qquad\text{multiply both sides by}\ \dfrac{9}{5}\\\\\dfrac{9\!\!\!\!\diagup^1}{5\!\!\!\!\diagup_1}\cdot\dfrac{5\!\!\!\!\diagup^1}{9\!\!\!\!\diagup_1}(F+459.67)=\dfrac{9}{5}K\\\\F+459.67=1.8K\qquad\text{subtract 459.67 from both sides}\\\\F=1.8K-459.67$

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Naoko found a deck of playing cards that had been dropped onto the floor. she picked up at least one card. she may have picked u

quester [9]

The answer to this question would be: 2*52! -1

In this case, the card is either picked up by Naoko or they are not picked up. That means there are two possible outcomes for each card. For 52 card, the possibility should be:
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8 0

4 years ago

11. Mr Lee bought a second hand car for

Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

$A = P (1+\frac{r}{n} )^{nt}$

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12 (12 months in a year)

t = 2

Plug everything into the compound interest formula.

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{12})^{12*2}$

$A = 15480(1+\frac{.0475}{12})^{24}$

$A = 15480(1+.00396)^{24}$

$A = 15480(1.00396)^{24}$

$A = 15480*1.0992$

$A = $17016.14$

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4 (4 quarters in a year)

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{4})^{4*2}$

$A = 15480(1+\frac{.0475}{4})^{8}$

$A = 15480(1+.0119})^{8}$

$A = 15480(1.0119)^{8}$

$A = 15480*1.099$

$A = 15480(1.099)$

$A = 17013.20$

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{1})^{1*2}$

$A = 15480(1+\frac{.0475}{12})^{2}$

$A = 15480(1+.0475})^{2}$

$A = 15480(1.0475)^{2}$

$A = 15480*1.0973$

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4 0

4 years ago

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kipiarov [429]

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3 years ago

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Hope this helps :)

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slavikrds [6]

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3 years ago

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