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Morgarella [4.7K]
3 years ago
10

The average cost for vacation is $1050 if a family borrows money for the vacation at an interest rate of 11.9% for six months wh

at is the total cost of the vacation including the interest on the loan
Mathematics
1 answer:
scoray [572]3 years ago
5 0
The answer to this question is 1764
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The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .
sammy [17]

Answer:

32,24,18,\frac{27}{2} ,\frac{81}{8}

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is 32,x,y,z,\frac{81}{8}

Recall that  term of a geometric sequence  are generally in the form:

a,ar,ar^2,ar^3,ar^4

This implies that:

a=32 and ar^4=\frac{81}{8}

Substitute a=32 and solve for r.

32r^3=\frac{81}{8}

r^4=\frac{81}{256}

Take the fourth root to get:

r=\sqrt[4]{\frac{81}{256} }

r=\frac{3}{4}

Therefore x=32*\frac{3}{4} =24

y=24*\frac{3}{4} =18

z=18*\frac{3}{4} =\frac{27}{2}

8 0
3 years ago
What is the greatest common factor of 45x^3, 24x^2, and 16x?
Phoenix [80]

Answer:

\huge\boxed{\sf GCF = x}

Step-by-step explanation:

<u>Firstly we'll factorize the terms:</u>

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

<u>The factor which is common in all three terms is:</u>

= x

Hence GCF = x

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
8 0
3 years ago
Given F ( x ) = -2/3 x - 4 What is the zero of this function?
sineoko [7]

Answer:

-4

Step-by-step explanation:

f(0)=(-2/3)(0) - 4

= - 4

5 0
3 years ago
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