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2 years ago

15

A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for to

tal spend at the Carnival. In the form y = mx + b

1 answer:

maw [93]2 years ago

6 0

The answer would be Y=7.50x+15

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Seven pipes empty a water tank in five days. In how many days would four pipes empty this tank?

gayaneshka [121]

Answer:

8.75 days

Step-by-step explanation:

7/4=1.75

1.75*5=8.75

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2 years ago

Hamza buys a car for £900 and sells it for £1,280. Write the sale price as a percentage of the original price. Give your answer

vazorg [7]

The sale price of the car as a percentage of the original price is 142%

<h3>Percentage</h3>

Cost of buying = £900
Cost of selling = £1,280

Sale price as a percentage of the original price = sale price / buying price

= 1280/900 × 100

= 1.42222222222222 × 100

= 142.22%

Approximately,

142%

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1 year ago

X÷y=6 what's x and y

scZoUnD [109]

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x= 12 y=2

Step-by-step explanation:

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2 years ago

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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

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7 months ago

Simplify the expression 3x²-5x-4+xy-(2xy+2x²) then evaluate the result if x=-1 and y=6

lidiya [134]

3x²-5x-4+xy-(2xy+2x²) Simplified is x²-5x-4-xy

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2 years ago

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