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Sunny_sXe [5.5K]
3 years ago
10

a commuter has $245 in his commuter savings account. this account changes by -$15 each week he buys a ticket. in one time period

, the account changed by -$240. for how many weeks did the commuter buy tickets?
Mathematics
1 answer:
bonufazy [111]3 years ago
4 0
$240÷15=16

This equals to 16 weeks.
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Find the inverse of the function. f(x) = 7x + 8
lana66690 [7]

Answer:

\frac{x-8}{7}

Step-by-step explanation:

A way to find the inverse function is to swap the x and y (f(x)) in the equation.

y = 7x + 8\\x = 7y + 8\\x-8 = 7y\\y = \frac{x-8}{7}

We can check that it is an inverse function by using a property of inverse functions:

f(g(x)) = x

If we plug in the f(x) function into the variable x of the inverse function, we should end up with x

y = \frac{(7x + 8) - 8}{7}\\y = \frac{7x}{7} \\y = x\\

It checks out!

4 0
3 years ago
store announced that their $500 appliances were on sale for $475 what is the percent discount on the appliances
Aleks04 [339]

Answer:

We are given that a store announced that their $500 appliances were on sale.

The price of the appliances after discount is $475.

We are required to find the percent discount on the appliances.

To find the percent discount, we have to use the below formula:

\frac{(Actual-discounted)}{Actual} \times 100\%

\frac{500-475}{500}\times 100\%

\frac{25}{500} \times 100\%

0.05 \times 100\%

5\%

Therefore, the percent discount on the appliances is 5%


6 0
4 years ago
Jimmy invests $7,000 in an account that pays 3% interest compounded semi-annually. What is his balance after 8 years?
Bumek [7]

Answer:

$8882.9

Step-by-step explanation:

A=p(1+(r/n))^nt

Given:P=7000, r=(3÷100%)=0.03 , n=2, t=8

A = 7000(1+(.03/2))^(2×8)

A = 7000 (1+0.015)^16

A = 7000 × 1.015^16

A = $8882.9

7 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
sleet_krkn [62]

Answer:

-6re−r [sin(6θ) - cos(6θ)]

Step-by-step explanation:

the Jacobian is ∂(x, y) /∂(r, θ) = δx/δθ × δy/δr - δx/δr × δy/δθ

x = e−r sin(6θ), y = er cos(6θ)

δx/δθ = -6rcos(6θ)e−r sin(6θ), δx/δr = -sin(6θ)e−r sin(6θ)

δy/δθ = -6rsin(6θ)er cos(6θ), δy/δr = cos(6θ)er cos(6θ)

∂(x, y) /∂(r, θ) =  δx/δθ × δy/δr - δx/δr × δy/δθ

= -6rcos(6θ)e−r sin(6θ) × cos(6θ)er cos(6θ) - [-sin(6θ)e−r sin(6θ) × -6rsin(6θ)er cos(6θ)]

= -6rcos²(6θ)e−r (sin(6θ) - cos(6θ)) - 6rsin²(6θ)e−r (sin(6θ) - cos(6θ))

= -6re−r (sin(6θ) - cos(6θ)) [cos²(6θ) + sin²(6θ)]

= -6re−r [sin(6θ) - cos(6θ)]     since  [cos²(6θ) + sin²(6θ)] = 1

6 0
4 years ago
Find the unit rate. Round to the nearest hundredth, if necessary.
Trava [24]

Answer:

$17.22 per foot

Step-by-step explanation:

To find the unit rate, divide the amount of money by the amount of feet. This will give you how much money per one foot.

310/18= 17.22222

4 0
3 years ago
Read 2 more answers
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