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2 years ago

5

Ms. Gonzalez borrowed $4,500 from her bank to buy a jet ski. The loan has an 8.5% annual simple interest rate. If it takes Ms. G

onzalez two years to pay back the loan, what is the total amount she will pay?

1 answer:

Komok [63]2 years ago

4 0

Answer:

765

Step-by-step explanation:

4500x8,5= 38250/100=382,5 x2= 765

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The number of bacteria growing in an incubation culture increases with time according to n left parenthesis t right parenthesis

Anon25 [30]

For this case we have the following function:
n (t) = 2400 * (5) ^ t
For n (t) = 60000 we have:
60000 = 2400 * (5) ^ t
We clear the value of t.
For this we use the logarithm:
(5) ^ t = 60000/2400
log5 ((5) ^ t) = log5 (60000/2400)
t = log5 (60000/2400)
t = 2 days
Answer:
the number of bacteria in the culture will be 60 comma 000 after:
t = 2 days

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2 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

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2 years ago

X= 2 and y = 4, then -X-XY

Fed [463]

Answer:

-10

Step-by-step explanation:

= -X - XY

= -2 - 2×4

= -2 - 8

= -10

therefore, -X - XY = -10

5 0

2 years ago

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Given ABC ~ DEF find the length of segment DE. Segment DE is _____ mm.

eduard

Answer:

20 mm

Step-by-step explanation:

$\frac{48}{40} =\frac{24}{x} \\48x=(40)(24)\\48x=960\\x=20mm$

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2 years ago

Is 7/8 greater than 3/4

lubasha [3.4K]

Answer: yes

Step-by-step explanation:

convert 3/4 so the denominator is the same for both fractions. you would just double the fraction : 6/8

now compare 7/8 and 6/8

7/8 is closer to a whole so yes it is greater x

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3 years ago

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