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2 years ago

Simplify using the distributive property. 5 Marks 1/5(4m+20) 9(5/9 y-1/3)

Mathematics

1 answer:

Zarrin [17]2 years ago

4 0

Answer+Step-by-step explanation:

$\frac{1}{5} \left( 4m+20\right) =\frac{4}{5}m + \frac{20}{5} = \frac{4}{5}m + 4$

$9\left( \frac{5}{4} y-\frac{1}{3} \right) =\frac{9\times5}{9} y-\frac{9}{3} = 5y - 3$

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Nevaeh invested $660 in an account paying an interest rate of 3% compounded

iris [78.8K]

Answer:

Step-by-step explanation:

Rate 1: 3

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}

Calculate Final Amount for Nevaeh

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e

0.0325(14)

Plug in

A=660e^{0.455}

A=660e

0.455

Multiply

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}

Calculate Final Amount for Jonathan

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+

)

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+

0.03125

)

12(14)

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)

168

Simplify

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

\$ 19

$19

4 0

3 years ago

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who w

svlad2 [7]

Answer:

The year is $b = 1995$

Step-by-step explanation:

From the question we are told that

The percentage of the number of babies born out of wedlock in 1990 is k = 28%

The percentage by which the number increase per year is i = 0.6%

The percentage of of the number of babies born out of wedlock considered is a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is

$d = a - k$

=> $d = 31 - 28$

=> $d = 3\%$

Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

$n = \frac{3\%}{0.6\%}$

=> $n = 5\ years$

Generally the year which the considered percentage will be attained is

$b = 1990 + n$

=> $b = 1990 + 5$

=> $b = 1995$

6 0

3 years ago

David’s statement shows a previous balance of $5834.53, a payment of $150, and new transactions totaling $325. His APR is 20.4%.

DaniilM [7]

Finance charge
(5,834.53−150)×(0.204÷12)=96.64

New balance
5,834.53−150+96.64+325
=6,106.17

8 0

3 years ago

Read 2 more answers

If x=1 y= -1, a= -2, b=3, then value of ax+by is_____

Thepotemich [5.8K]

Answer:

- 5

Step-by-step explanation:

Substitute the given values into the expression

ax + by

= (- 2 × 1) + (3 × - 1)

= - 2 + (- 3)

= - 2 - 3

= - 5

4 0

3 years ago

Read 2 more answers

Question 11 point(s) Jared made Ask Your Teacher cups of snack mix for a party. His guests ate Ask Your Teacher of the mix. How

liq [111]

Answer:

$8\frac{1}{2}$ cups

Step-by-step explanation:

To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine $\frac{2}{3}of12\frac{3}{4}$ by multiplying both fractions together

quantity of snack mix Jared guest ate = $\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}$

5 0

3 years ago