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Tems11 [23]
3 years ago
13

1. June collects books. Last year she had 20 books in her collection. Now she has 30 books. What is the percent increase of her

collection?
2. Mallory’s bill at the Townie Deli is $15.70, not including tax. If she leaves an 18% tip and has to pay 7% sales tax, how much is the total bill?
3. A tablespoon is equivalent to about 4 teaspoons. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon vanilla. What is the unit rate in tablespoons per cup?

Mathematics
1 answer:
larisa86 [58]3 years ago
7 0
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Why is the ruler placement postulate important?
Oksanka [162]

Answer:

ruler placement postulate is important to define relative positioning between points.

Although both A & C are possible, we don't consider a line to have an "origin". A distance can have an origin, so the answer must be A.

3 0
3 years ago
Read 2 more answers
Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h
kozerog [31]
The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\  \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\  \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\  \\  \therefore P= \frac{50,000}{81.770994} =\$611.46

Therefore, her monthly payment is about $611.50
</span>
3 0
4 years ago
Use the zero product property to find the solitions to the equation(x+2)(x+3)=12.
kykrilka [37]

Answer:

(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12  (multiply the binomials)

(x + 2) (x + 3) = x² + 5x + 6 = 12

(x + 2) (x + 3) = x² + 5x + 6-12 = 0  (add the like term and bring the positive 12 to the other side which makes it negative)

x² + 5x + 6 = 0

Using the snowflake method -  (finding the factors of 6 that adds/subtracts to give you 5).  

This method will give you the factors (x + 6)(x - 1)

ZERO PROPERTY RULE:

(x + 6) = 0

x = -6

(x - 1) = 0

x = 1

The two solutions to the equation are -6 and 1.

7 0
3 years ago
I don't know how to solve these two types of questions:<br> (x+y)(x-y)=20<br> and (z+z)(z+z)=63
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7 0
3 years ago
Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!)
iVinArrow [24]
Wait I know u still need the answer or not anymore
5 0
4 years ago
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