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STALIN [3.7K]
3 years ago
9

You drive 1244.5 miles and use 47.5 gallons of gasoline. What is your car’s gas

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

\large \boxed{\text{26.2 mi/gal}}

Step-by-step explanation:

\begin{array}{rcl}\text{Mileage} & = & \dfrac{\text{Total miles}}{\text{Total gallons}}\\\\& = & \dfrac{\text{1244.5 mi}}{\text{47.5 gal}}\\\\& = & \textbf{26.2 mi/gal}\\\end{array}\\\text{Your car's gas mileage is $\large \boxed{\textbf{26.2 mi/gal}}$}

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A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo
Mama L [17]

Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

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

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0
3 years ago
A square pyramid is shown: 0.4 feet , 0.4 feet , 5 feet What is the surface area of the pyramid?
Vlad [161]
A square pyramid is called like so because its base is a square.

notice this one, its base is a 0.4x0.4 square, and the triangular faces have a base of 0.4 and an altitude or height of 5.

so we can simply get the area of the base and all four triangular faces and sum them up, and that's the surface area of the pyramid.

\bf \stackrel{\textit{squarish base}}{(0.4\cdot 0.4)}~~+~~\stackrel{\textit{4 triangles}}{4\left[\cfrac{1}{2}(0.4)(5)  \right]}\implies 0.16~~+~~4\implies 4.16
5 0
3 years ago
Pls help me <br><br> 8c - 6 - 5с 3
Sphinxa [80]

Answer:

3c + 3   please give brainliest

Step-by-step explanation:

it might be subtraction sign please give brainliest

7 0
3 years ago
use the discriminant to determine how many and what kind of solutions the quadratic equation x^2-x=1 has
weqwewe [10]

Answer:

Two solutions

Step-by-step explanation:

x^2-x=1

plug into the discrimiant fomurla

The asnwer ends up being 5

which is positive,  meaning that the discriminant has two solutions

Postitive number = Two solutions

The answer is 0 = One solution

Negative number = No solutions

:)

6 0
3 years ago
What is the sum of all the angles that are labeled?
vichka [17]

Answer and Step-by-step explanation:

To find the sum of all the angles that are labeled, simply just add those angles together.

191 + 56 + 35 = 282

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

3 0
3 years ago
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