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saul85 [17]
3 years ago
11

Carlotta subscribes to the HotBurn music service. She can download no more than 11 song files per week. Carlotta has already dow

nloaded 8 song files this week. Write, solve, and graph an inequality to show how many more songs Carlotta can download.
Mathematics
1 answer:
il63 [147K]3 years ago
7 0
Y = number of songs she can still download
y + 8 ≤ 11
   - 8    -8
   ------------
y      ≤ 3

She can only download 3 more songs
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How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?
Ket [755]

The amount invested is $ 470

<h3><u>Solution:</u></h3>

Given that ,  we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested.  That is, we need to find the principal sum

Let us use the simple interest formula

<em><u>The simple interest is given as:</u></em>

\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}

Here, simple interest = $ 131.60

Rate of interest = 4 %

Number of years = 7

principal = ?

Substituting the values in formula, we get

\begin{array}{l}{131.6=\frac{\text { principal } \times 4 \times 7}{100}} \\\\ {131.6 \times 100=\text { principal } \times 4 \times 7} \\\\ {13160=\text {principal } \times 28} \\\\ {\text {Principal }=470}\end{array}

Thus the amount invested is $ 470

4 0
3 years ago
Write a function rule.
Tomtit [17]

Answer:

Hi.... P=6.75+0.90x....

4 0
3 years ago
Two angles are complementary. One angle is labeled 2p+6°. The other angles is labeled 4p°. Find the value of p.
makkiz [27]

Answer:

<em>Value</em><em> </em><em>of</em><em> </em><em>p</em><em> </em><em>is</em><em> </em><em>14</em>

Step-by-step explanation:

given \: complementary \: angles \: add \: up \: to \: 90 \: degrees \\ then \\ 2p + 6 + 4p = 90 \\ 6p + 6 = 90 \\ 6(p + 1) = 90 \\ p + 1 =  \frac{90}{6}  \\ p + 1 = 15 \\ p = 15 - 1 \\ p = 14

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
Write the fraction 6/6 as a sum of fractions 3 different ways
swat32
12/12, 4/4, and 2/2 there's three other ways you could do 6/6
8 0
4 years ago
3. Consider the functions f(x) = x2 + 10x – 5, g(x) = 8x + 1, and h(x) = 3x – 4. List the functions from least to greatest value
weeeeeb [17]
<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34

g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25

h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5

<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91

g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49

h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14

I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
4 0
3 years ago
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