Find the volume of the region bounded by z=x2, 0≤x≤2, and the planes y=0, y=7, and z=0.

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for

Aneli [31]

The monthly loan payments are $350 ⇒ B

Step-by-step explanation:

Simple Interest formula (Principal + Interest) is A = P(1 + rt) where:

A is total accrued amount (principal + interest)
P is principal Amount
r is rate of interest per year in decimal
t is time period involved in months or years

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for 5 years at 10%APR.

We need to find how much the monthly loan payments are

∵ Adam is buying a hot air balloon for $19,000 with a down payment

of $5,000

- Subtract the down payment from the cost of the balloon

∴ P = 19000 - 5000 = 14000

∵ The bank approved a simple interest flat rate loan for 5 years at

10% APR

∴ t = 5

∴ r = 10% = 10 ÷ 100 = 0.1

- Substitute all of theses values in the formula above

∵ A = 14000[1 + 0.1(5)]

∴ A = 21000

∴ The loan payment is $21000

- The loan will pay in 5 years

∵ The number of monthly payment = 5 ×12 = 60

- Divide the amount of loan payment by 60

∴ The monthly loan payments = 21000 ÷ 60 = 350

The monthly loan payments are $350

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3 0

2 years ago

In a sample of eight whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a sta

Advocard [28]

Answer:

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.3246

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.3646\frac{0.06}{\sqrt{8}} = 0.0502$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg

The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

8 0

2 years ago

7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent

Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

First term, a = 220
Sum of terms, Sn = 10920
Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

$S_n = \frac{n}{2}(2a + (n -1) * d)$

So,we have:

$10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)$

Evaluate the terms and factors

$21840 = n(440 + 16n -16)$

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

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4 0

2 years ago

If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =

Pavlova-9 [17]

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

4 0

2 years ago

Rewrite Log base 4 of 4 = 1

Mkey [24]

Answer:

$log_{4}(4) = 1$

4 0

2 years ago