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3 years ago

Express each ratio as a fraction in lowest terms.

1 answer:

5 0

1) 7/35 simplified into 1/5
2) 11/77 simplified into 1/7
3) 241 divided by 4 is $51.25cent
4) 110.7 divided by 8.2 is 13.5 miles per hour

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The Pirerras are planning to go to Europe 3 years from now and have agreed to set aside $140/month for their trip. If they depos

Natalka [10]

Answer:

(a)$5805.21

(b)Least Expensive Mortgage =$120640.59

Most Expensive Mortgage =$152032.77

Step-by-step explanation:

The future value of an ordinary annuity with deposits P made regularly k times each year for n years, with interest compounded times k per year at an annual rate r, is given as:

$F.V.=\dfrac{P[(1+i)^{kn}-1]}{i}$

The Pirerra's Monthly Payments=$140

Annual Rate =9.5%

Therefore: Monthly Rate=0.095/12

Years, n=3

Period, k=12

$F.V.=\dfrac{140[(1+\frac{0.095}{12} )^{3*12}-1]}{\frac{0.095}{12} }=\$5805.21$

(b)For the Johnsons, Present value of Mortgage is derived using the formula:

$\Text{Present Lump Sum}, A_0=\dfrac{P[1-(1+i)^{-kt}]}{\frac{r}{k} }$

At $1000 Monthly payment

$\Text{Present Lump Sum}, A_0=\dfrac{1000[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$104640.59$

Adding a down payment of $16000

Least Expensive Mortgage = 104640.59+16000=$120640.59

At $1300 Monthly Payment

$\Text{Present Lump Sum}, A_0=\dfrac{1300[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$136032.77$

Adding a down payment of $16000

Most Expensive Mortgage = 136032.77+16000=$152032.77

4 0

3 years ago

Suppose X and Y are non-empty sets. Which set contains more elements: X U Y or X ∩ Y? Explain.

katrin [286]

Answer:

The union of two sets is guaranteed to result in an equal or larger set than if they were intersected.

This only makes sense because intersecting sets is exceptional, only values that already exist in both sets are in the result. Whereas a union of two sets gives you all of the content of both.

The only time when an intersection is even equal to a union is when the two sets are identical. If they aren't then the intersection will be smaller.

4 0

3 years ago

Julia surveyed twenty households on her street to determine the average number of children living in each household. the tables

Lerok [7]

The difference between the mean of the sample and the mean of the population is A. 0.55

<h3>Calculations and Parameters:</h3>

Given the population data is:

0 3 3 1 3 2 2 2 5 4 3 3 3 0 1 2 0 2 3 3

The sample data is:

5 3 0 2 4

The mean of the population data is:
45/20= 2.25

The mean of the sample data is:

14/5= 2.8

Therefore, the difference between the mean of the sample and the population is:

2.8-2.25= 0.55