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Tatiana [17]
3 years ago
8

I need help with number 16 :))))

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

D : 21

Step-by-step explanation:

because YZ is linger than 18 and the only option longer than 18 is 21

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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
4 years ago
Need help again asap please! Find the sum of the first 30 terms of the sequence below an=3n+2
hoa [83]

S_{30} = 1455

generate a few terms of the sequence using a_{n} = 3n + 2

a_{1} = ( 3 × 1) + 2 = 5

a_{2} = (3 × 2) + 2 = 8

a_{3} = (3 × 3 ) + 2 = 11

a_{4} = (3 × 4 ) + 2 = 14

a_{5} = ( 3 × 5 ) + 2 = 17

the terms are 5, 8, 11, 14, 17

these are the terms of an arithmetic sequence

sum to n terms is calculated using S_{n} = \frac{n}{2} [ 2a + (n-1)d]

where a is the first term and d the common difference

d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and a_{1} = 5

S_{30} = \frac{30}{2} [( 2 × 5) + (29 × 3) ]

= 15( 10 + 87) = 15 × 97 = 1455



3 0
3 years ago
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castortr0y [4]
Radius = Diameter ÷ 2 = 12 ÷ 2 = 6
Area = \pi  r^{2} = pi x 6 x 6 = 113.04 (Answer B)
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3 years ago
Can someone help me with 5 and 6?
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Sine = (opposite)/(hypotenuse). Cosine = (adjacent)/(hypotenuse). Tangent = (opposite)/(adjacent). Fill in the numbers. They're all on the drawing . Then memorize these definitions. You'll need them as long as you're in school, and possibly after.
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$600x06x3= $108.00- the interest and with the $600 it would be $708
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