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AnnyKZ [126]
3 years ago
13

A grocery store manager uses 1/2 crate of apples for every 3/4 crate if oranges in a fruit display. How many crates of oranges w

ill she need if she uses 2 1/2 crates of apples?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

15/4

Step-by-step explanation:

This is a proportion question

It says 1/2 crates of apple are used for every 3/4 crates of oranges

For 5/2 crates of apple, x crates of oranges will be needed.

To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2

This means: 0.5x = 0.75 × 2.5

x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75

Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.

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If d varies directly as t and d = 20.5 when t=12 find:
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Step-by-step explanation:

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3 years ago
Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account
skelet666 [1.2K]
To solve this we are going to use formula for the future value of an ordinary annuity: FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic payment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so P=50 and t=3. To convert the interest rate to decimal form, we are going to divide the rate by 100%
r= \frac{4}{100}
r=0.04
Since the interest is compounded monthly, it is compounded 12 times per year; therefore, n=12.
Lets replace the values in our formula:
FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]
FV=1909.08

We can conclude that after 3 years you will have $1909.08 in your account.
4 0
3 years ago
Read 2 more answers
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
lubasha [3.4K]

Answer:

<em>13.1</em>  

Step-by-step explanation:

A = bh

~~~~~~~

b_{1} = 16 , h_{1} = 9

A = 16 × 9 = 144

From another side area of parallelogram  with hight "h" base "b"  

11h = 144

<em>h</em> = 144 ÷ 11 ≈ <em>13.1</em>

5 0
1 year ago
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