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aev [14]
3 years ago
13

The formula D= 393t + 5680 can be used to approximate rhe tital average credit card debt in a U.S. household (in dollars) t year

s after 1995. Use this formula to predict what the total average credit card debt will be in the year 2027
Mathematics
1 answer:
Schach [20]3 years ago
8 0
<span>In this problem the formula for average credit card debt is D=393t+5680 where t is years after 1995. To find the total average credit card debt in the year 2027, we must first find the difference in years between 2027 and 1995 to get our t value. To do this subtract 1995 from 2027: t= 2027 - 1995 = 32 years. Next, we plug in 32 for t into the equation and solve for D: D = (393)*(32) + 5680 = $18,256.</span>
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Not sure how to solve this one
Alex73 [517]

Answer:

x\approx 63.4^0

Step-by-step explanation:

In the given right triangle,

Measure of angle = x°

Opposite side of the angle = 12 units

Adjacent side of the angle = 6 units

By taking tangent ratio of the given angle,

tan(x°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

           = \frac{12}{6}

           = 2

x^0=\text{tan}^{-1}(2)}

x=63.43^0

x\approx 63.4^0

4 0
2 years ago
If TR=11 ft, find the length of PS
Klio2033 [76]

Answer:

PS = 31.5 ft

Step-by-step explanation:

∠PTS = 180 - 16 = 154°

164°(π/180) = 41π/45 radians

PS = rθ = 11(41π/45) = 31.48573...

5 0
2 years ago
The object on the right is made from a square-based pyramid joined to a cuboid.
spayn [35]

Answer:

Density of steel = 80.73 gm/cm^3

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

V_{Cuboid} = l \times w \times h

V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3

Density of Wood , D_{Cuboid}= 0.68g/cm^3

We know that formula of Density is:

Density = \dfrac{Weight}{Volume}

D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}

Putting the values:

W_{Cuboid} = 324 \times 0.68 = 220.32\ gm

Total weight = W_{Cuboid} + W_{Pyramid}

970 = 220.32 + W_{Pyramid}

W_{Pyramid} = 749.68 gm

Volume of pyramid is given as:

V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}

Base is a square with side 6 cm

V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3

Density of Steel/Pyramid:

D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3

5 0
3 years ago
a force of 2 pounds is needed to stretch a spring 8 inches.what force is required to stretch the spring 16 inches
Korvikt [17]

Answer:

Four (4) pounds

Step-by-step explanation:

Because we required two (2) pounds to stretch the spring eight (8) inches, we need double the force to stretch it sixteen (16) inches. Sixteen is just double the original amount, meaning we need four (4) pounds to stretch the spring sixteen inches.

Hope this helps!

5 0
3 years ago
Which of the following,is a factor of 3x^2-9x^2+3x
Savatey [412]

Answer:

-3x(x-1)

Step-by-step explanation:

-6x^2 +3x

-3x(x-1)

Hope this helps!

If you think i helped, please mark brainliest! Would really appreciate!

5 0
3 years ago
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