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3 years ago

Juanita drove 205.1 miles in 3.5 hours. What was Juanita's average speed in miles per hour?

Mathematics

1 answer:

Tcecarenko [31]3 years ago

5 0

Answer:

58.6 miles per hour

Step-by-step explanation:

205.1 miles /3.5 hours= 58.6 mph

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What is the value of 3×2+4y2 if x=2,y=1, and z=-3

photoshop1234 [79]

3 x 2 +4y2 if y=1

3 x 2 =6

6+4y2

4 x (1) x 2 =8

8+6=

4 0

3 years ago

Find the equation of the line using the point-slope formula. Write all the final equations

vivado [14]

Answer:

$y=\frac{1}{2}x+\frac{5}{2}$

Step-by-step explanation:

We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.

Also you could just use $\frac{y_2-y_1}{x_2-x_1}$ . It is the same thing.

( 5 , 5)

-( 1 , 3)

--------------

4 2

So the slope is 2/4 or 1/2 after reducing.

The point-slope form a line is

$y-y_1=m(x-x_1)$ with a point on the line $(x_1,y_1)=(1,3)$ given and with slope $m=\frac{1}{2}$ given.

$y-3=\frac{1}{2}(x-1)$

We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form. It is called that because it tells us the slope,m, and the y-intercept,b.

Distribute:

$y-3=\frac{1}{2}x-\frac{1}{2}$

Add 3 on both sides:

$y=\frac{1}{2}x-\frac{1}{2}+3$

Simplify:

$y=\frac{1}{2}x+\frac{5}{2}$

4 0

3 years ago

Plz help (: 20+points

mafiozo [28]

Answer:

The answer would be option number 2. (a₁ = 8 a(n) = -3a(n)-1)

Step-by-step explanation:

You are multiplying by negative 3 every time and you are starting with the number 8.

8 0

3 years ago

Milan invested his savings in two investment funds. the $4000 that he invested in fund a returned a 3% profit. the amount that h

mariarad [96]

Given:

Percent Amount $

Fund A 3% $4000

Fund B 1% x

Total Funds 8% $4000 + x

Find:

Fund B Investment

Solution:

$4000 * .03 + .10 * x = .08% ($4000 + x)

We already know 3 rates and one amount invested

$4000 * .03 + .10 * x = .08% ($4000 + x)

Multiply them out:

120 + (0.10 * x) = 320 + 0.08x

Now, we combine like terms.

.10x – 0.08x = 320 – 120

.02x = 200

Isolate x

x = 200 / 0.02

Divide

x = $10,000

Checking:

($4000 * .03) + (.10 * 10,000) = .08% ($4000 + 10,000)

120 + 1000 = 320 + 800

1120 = 1120

Therefore, fund B has an investment of $10,000.

3 0

3 years ago

Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years

Helen [10]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{4}\right)^{4\cdot 4}\implies A=2500(1.01)^{16}\implies A\approx 2931.4466123$

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4 years ago