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3 years ago

The distance around a meteor crater is 9,033ft. Find the diameter of the crater. Use 22/7 for pi. Round to the nearest tenth

1 answer:

3 0

We know that the circumference of a circle is equal to pi times the diameter of the circle. Therefore, assuming this crater to be circular in shape, we can divide the circumference by pi, in this case 9033*7/22, yielding an answer of 2874.1 feet after rounding.

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Joe is a car salesman. He earns 300 for every car he sells plus a 3 percent commission. IfJjoe sells 3 cars in one week for a to

alisha [4.7K]

Given Situation:Joe is a car salesman. He earns 300 for every car he sells plus a 3 percent commission. Joe sells 3 cars in one week for a total of 35,243.Questin: what are his total earnings for the week.First let's solve for the number of cars.=> 1 car = 300 dollars=> 3 cars = 3 * 300 = 900 dollarsNow, let's solve for the percentage of his commision:=> 35 243 dollars = total amount he received for the 3 cars he sold.=> 35 243 dollars * 0.03 = 1 057.29 dollars is the commision.Now, let's add=> 900 + 1 057.29 = 1 957.29 dollars

3 0

3 years ago

For his birthday, Tyrone's parents gave him $7,790.00 which they put into a savings account that earns 15% interest compounded m

torisob [31]

Answer:

5 years and 5 months

Step-by-step explanation:

Compound Interest Formula

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

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

A = $17,474.00
P = $7,790.00
r = 15% = 0.15
n = 12
t = number of years

Substitute the given values into the formula and solve for t:

$\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}$

$\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}$

$\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}$

$\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)$

$\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}$

$\implies \sf t=5.419413037...\:years$

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

3 0

2 years ago

Read 2 more answers

Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.

prisoha [69]

See picture hope it helps

8 0

3 years ago

Read 2 more answers

You can fly from Seattle to Boise for $137.50, from Boise to Witchita for $92.50 and from Witchita to Austin for $162.50. Use me

Vesnalui [34]

We add all these numbers up. 137.50 +162.50+92.50= 392.50$ Use a cacl or by hand

6 0

3 years ago

Read 2 more answers

The line y = hx - 2 where h > 0 meets the curve 3y² = 9x² - 6x + 1.

I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since $y =hx -2$ is an equation for a line which intersects with the curve $3y^2 = 9x^2 - 6x +1$ . The point of intersection, let's say $(x_1,y_1)$ , should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

$3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1$

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

$(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11$ = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

$b^2 -4ac =0$

where $a=9-3h^2, b=12h-6$ and $c=-11$ , as a result, the following equations can be deduced,

$(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 ) -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0$

therefore, dividing both sides by 12

$h^2 -12 +36 =0\\(h-6)^2 =0\\h=6$

8 0

2 years ago