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julia-pushkina [17]
2 years ago
8

Laura bought 23 pounds of sugar for $12. How many dollars did she pay per pound of sugar?

Mathematics
1 answer:
Vikki [24]2 years ago
6 0

Answer:

≈ $0.52 per pound

Step-by-step explanation:

12/23  ≈ $0.52

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Find the balance in an account with $7,000 principal earning 5% interest compounded quarterly
nadya68 [22]

Answer:

The balance is \$11,505.34  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$7,000\\ r=0.05\\n=4  

substitute in the formula above  

A=\$7,000(1+\frac{0.05}{4})^{4*10}=\$11,505.34  

3 0
3 years ago
Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x )
Genrish500 [490]

Answer:

Step-by-step explanation:

y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)

3 0
3 years ago
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
Vladimir [108]

Answer:

the answer is 17

Step-by-step explanation:

6×3-1

= 17

6 0
3 years ago
A translation maps (x, y) to
Troyanec [42]

Answer:

second quadrant

Step-by-step explanation:

(x, y ) → (x - 5, y + 3 ) means subtract 3 from the original x- coordinate and add 3 to the original y- coordinate.

(- 3, - 2 ) ← in third quadrant

→ (- 3 - 5, - 2 + 3) → (- 8, 1 ) ← in second quadrant

6 0
3 years ago
PLs help asap :( i have no idea how to do sigma notation
svet-max [94.6K]

The correct answer is C

Sigma Notation is when we take all of the whole numbers between the starting point (which can be found as the number under the sigma sign) and the end number (which can be found above the sigma sign). Therefore, we will add together all of the values of 3k + 2 for when k is equal to all of the numbers between 2 and 7. So, let's evaluate each one first.

When k = 2

3(2) + 2 = 8

When k = 3

3(3) + 2 = 11

When k = 4

3(4) + 2 = 14

When k = 5

3(5) + 2 = 17

When k = 6

3(6) + 2 = 20

When k = 7

3(7) + 2 = 23

So we know we have the following.

8 + 11 + 14 + 17 + 20 + 23

Now for the number after the comma, we are just looking for the answer of them all added together. So the final answer should be

8 + 11 + 14 + 17 + 20 + 23, 93


6 0
3 years ago
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