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Natasha_Volkova [10]

3 years ago

12

Carl is on the school track team. To prepare for an upcoming race, he plans to run 207 miles total over the next 31 days. Write

an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day.

1 answer:

Mkey [24]3 years ago

8 0

207 divide 31 = 6.7 miles per day
y= days
x= distance
y=6.7

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Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac

White raven [17]

A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a? well, is just (4/100) * a, or 0.04a.

how much is 9% of b? well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

$\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500$

how much was invested at 9%? well, b = 26500 - a.

7 0

3 years ago

"Alexis, Becca, and Cindy do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 285 hours at the shelter last

Maslowich

Answer:

Alexis = 59

Becca = 74

Cindy = 152

Step-by-step explanation:

a + b + c = 285

a = b - 15

c = 2b + 4

4 0

3 years ago

Read 2 more answers

What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64

marshall27 [118]

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are $2x+y\geq 8$ -------(1)

$x+y \geq 6$ ------------- (2)

$x \geq 0$ , $y \geq 0$ -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, $2\times 0+0\geq 8$ ⇒ $0\geq 8$ ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, $0+0\geq 6$ ⇒ $0\geq 6$ ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4), C= 46

At B≡(6,0), C= 42

Thus at B, C is minimum, And its minimum value = 42

5 0

3 years ago

Read 2 more answers

ANSWER THIS TO GET 23 POINTS AND BRAINLIEST

puteri [66]

<em>Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.</em>

<em>I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).</em>

<em>The traditional interest formula is I = (P)(R)(N).</em>

<em>P = the original amount of money given</em>

<em>R = interest rate</em>

<em>N = the amount of time</em>

<em />

<em>I hope this answers your question (and that I understood the question correctly!).</em>

<em>-Toremi</em>

6 0

2 years ago

What is the value of f(2)?

Lunna [17]

Question:

What is the equation?

6 0

3 years ago