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Fofino [41]
3 years ago
6

Represent the following expression with a single rational number.

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

1/4

Step-by-step explanation:

-2 2/5 + 3 1/4 - 3/5

-12/5 + 13/4 - 3/5 =

1/4

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How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9
ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})

Where:

\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

\frac{5.9}{100}=0.059

Now we substitute the values:

PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})

Now we solve the operations, we get:

PV_{\text{ord}}=39462.50

Therefore, the present value must be $39462.50

8 0
1 year ago
Name an inscribed angle
Vladimir79 [104]

Answer:

BHF

Step-by-step explanation:

Definition of inscribed

6 0
3 years ago
To the nearest mile, what is the total distance that he ran?
ioda

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

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7 0
3 years ago
A jeweler is dividing
Anuta_ua [19.1K]

Answer: OPTION D:  \frac{3}{32}

Step-by-step explanation:

By definiton, fractions have the following form:

\frac{a}{b}

Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.

 In order to solve this exercise you need to remember de Division of fractions:

\frac{a}{b}\div\frac{d}{e}=\frac{a}{b}*\frac{e}{d}=\frac{a*e}{b*d}

In this case, according to the information given in the exercise, you know that \frac{3}{8}\ lb of rubies are divided into 4 lots.

Therefore, in order to calculate the weight in pounds of each lot, you need to divide \frac{3}{8}\ lb  by 4.

Then, you get the following result:

\frac{3}{8}\ lb\div4=(\frac{3}{8}\ lb) (\frac{1}{4})=\frac{3}{8*4}\ lb=\frac{3}{32} \ lb

As you can notice, this result matches with the Option D.

5 0
2 years ago
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and a
Thepotemich [5.8K]
Floyd's contract consists of
(i) $200 per month fixed.
(i) $12 per album sold.

Let x =  number of albums sold last month.
Because total earnings is $644, therefore
200 + 12x = 644

To find x, do the following:
Subtract 200 from each side.
12x = 644 - 200 = 444
Divide each side by 12.
x = 444/12 = 37

Answer:
The equation is 12x + 200 = 644.
The solution for x (number of albums sold) is 37.

5 0
3 years ago
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