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2 years ago

What percent of 48 is 30

Mathematics

1 answer:

Alenkasestr [34]2 years ago

8 0

The answer is 14.4% I just did it in my head

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Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?

Anna11 [10]

Answer:

$x+2y=-11$

Step-by-step explanation:

Slope intercept form of a line is given by:

$y=mx+b$

Where

m is the slope and b is the y-intercept

Given slope is $-\frac{1}{2}$

We can write:

$y=-\frac{1}{2}x+b$

Now to find b, we replace x with -3 and y with -4, given, so we have:

$y=-\frac{1}{2}x+b\\-4=-\frac{1}{2}(-3)+b\\-4=\frac{3}{2}+b\\b=-5.5$

So, the equation is:

$y=-\frac{1}{2}x-\frac{11}{2}$

Now,

The standard form is given by:

$Ax+By=C$

So, we take x and y to left side and the constant to right side. Rearranging, we get:

$y=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11$

The first answer choice is right.

3 0

2 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 future value FV.

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

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

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

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

End of year 3 (capital + interest + new deposit)

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

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 sum of a geometric sequence 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 present value PV 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

2 years ago

Determine the domain and range of the function represented by the graph below.

Alenkasestr [34]

Answer:

C. Domain: −2≤x≤2; Range: −2≤y≤2

Step-by-step explanation:

7 0

2 years ago

Translate and solve: 3x less than 2 times the sum of 2x and 1 is equal to the sum of 2 and 5. X=

Sauron [17]

Answer:

3 x = 2 = 2 x = 1 = 2 = 5 X =

Step-by-step explanation:

Use the given functions to set up and simplify

5X.

im pretty sure this is right, butt if its not im sorry <3

6 0

3 years ago

A) a pint is what fraction of a quart

Vlada [557]

A. 1/2 (2 pints)
B. 1/4 (4 quarts)
C. 1/8 (8 pints)
D. B (1/8)
1/2 x 1/4 = 1/8
Glad to Help!

6 0

2 years ago

Read 2 more answers