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3 years ago

11

Dylan wants to buy a new guitar. He borrows the money he needs and pays an equal amount back for 11 months. The interest is $3 e

ach month. How much money will he pay in interest?

1 answer:

lukranit [14]3 years ago

8 0

Answer:

Total interest paid= $33

Step-by-step explanation:

Giving the following information:

Number of periods= 11 months

Interest per month= $3

<u>To calculate the total amount of interest paid, we need to use the following formula:</u>

<u></u>

Total interest paid= number of periods*interest per period

Total interest paid= 11*3

Total interest paid= $33

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On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.

slega [8]

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

$(x-8)^2 + (y - 9)^2 = r^2$

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

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3 years ago

Read 2 more answers

How to solve, -1.2x - 6.5x less than or equal to 2.3x + 5

Hitman42 [59]

-1.2x - 6.5x ≤ 2.3x + 5

-7.7x ≤ 2.3x + 5

≤ 10x + 5

-5 ≤ 10x

-1/2 ≤ x

x ≥ -1/2

4 0

2 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

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Tems11 [23]

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3 years ago

At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of

notka56 [123]

Answer:

-5 If it is one of your answers it will be -5

Step-by-step explanation:

If you take 10 and have 3 decrease every minute and did it for 5 minutes it will go 10 7 4 1 -2 -5 That is 5 minutes of the temperature decreasing by 3 I hope it is right.

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2 years ago