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Alborosie
3 years ago
8

Solve for x I need help again :/

Mathematics
1 answer:
vovangra [49]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

opposite sides of both angles are congruent/equal or have same measure.

Therefore:-

6x+2=38

6x=38-2

6x=36

x = 6

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The x-intercept of the equation 2y – x = -6 is ?
abruzzese [7]

Answer:

Substitute 0 for y

and solve to find the x-intercept.

x-intercept(s): (6,0)

4 0
3 years ago
A shirt that normally sells for $28.00 before a discount was priced at $22.95 after discount. What percent was saved?
statuscvo [17]

The original price was multiplied by a certain percentage, say x/100, and it became the discounted price. So, we have


28 \cdot \frac{x}{100} = 22.95


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7 0
3 years ago
When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
If blueberries cost $4.00 per pound, how many pounds of blueberries can you buy for $1.00?
faust18 [17]
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4 0
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