Can anyone help me refresh my mind?!

Mathematics

1 answer:

Nuetrik [128]3 years ago

8 0

That is correct. The log3 stays the same and the numerator goes first and then the denominator goes second. When it’s a fraction like that one, the standard form would be subtraction.

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The expression 5(F-32) divided by 9 yes the Celsius temperature for a Fahrenheit temperature of F degrees C noon Fahrenheit temp

shutvik [7]

Substitute the given information into the formula and do the arithmetic.
5(86 -32)/9 = 5(54/9) = 5(6) = 30

The temperature was 30 °C.

6 0

3 years ago

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George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),

oksian1 [2.3K]

Given:

Vertices of a triangular garden:

A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5

Find the distance between points:

d = √(x2-x1)^2 + (y2-y1)^2

dAB = 2√2
dBC = 4
dCA = 2√2

A similarly shaped garden is to be created using the scale factor, 0.5:

A' = 2√2 / 0.5 = 4√2
B' = 4 / 0.5 = 8
C' = 2√2 / 0.5 = 4√2

6 0

3 years ago

a rectangular room is three times as long as it is wide, and its perimeter is 80 meters. find the length of the room

Hoochie [10]

Let the width of the room be = x

Length of the room = 3x, Since it is three times as wide

Perimeter = 80m

Perimeter = 2*(L + W) = 2*(3x + x) = 80

2*(3x + x) = 80

2*(4x) = 80

8x = 80 Divide both sides by 8

x = 80/8

x = 10, But length = 3x, = 3*10 = 30

Length = 30m

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3 years ago

A camp leader buys a book for each of her campers. She spends $7.50 on each book.

CaHeK987 [17]

So how much does she spend in all right

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3 years ago

Yolanda deposits $300 per month in an account with an APR of 6%, while Zach deposits $3600 at the end

bonufazy [111]

Answer:

Yolanda will have a balance of $34,043.10 in 14 years.

Step-by-step explanation:

This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.

To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = $\frac{PMT}{r}[1-(1+r)^{-t} ]\\$

PMT= recurring payment = $300

r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.

t = total duration ; 14 *12 = 168 months

Next, plug in the numbers into the FVA formula;

FVA = $\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]$

FVA = 60,000 * 0.5673849

FVA = 34,043.0969

Therefore, Yolanda will have a balance of $34,043.10 in 14 years

7 0

4 years ago