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3 years ago

6. h(x) = 10x – 4, find h(0.5)

Mathematics

2 answers:

STatiana [176]3 years ago

8 0

Answer:

h(0.5) = 1

Step-by-step explanation:

given h(x) = 10x – 4

to find h(0.5), replace x with 0.5

h(0.5) = 10(0.5) – 4

h(0.5) = 1

e-lub [12.9K]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

x=0.5. by substitution we get 10(0.5)-4=5-4=1

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in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding

stealth61 [152]

Answer: $59313.58

Step-by-step explanation:

We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-

$FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})$ , where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.

Given : Annuity payment deposit :A= $4500

rate of interest :r= 6%=0.06

No. of periods : m= 1 [∵ its annual]

Time : t= 10 years

Now we get,

$FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})\\\\\Rightarrow\ FV=(4500)(\frac{(1.06)^{10})-1}{0.06})\\\\\Rightarrow\ FV=(4500)(\frac{0.79084769654}{0.06})\\\\\Rightarrow\ FV=(4500)(13.1807949423)\\\\\Rightarrow\ FV=59313.5772407\approx59313.58 \ \$

∴ the accumulated amount of the annuity= $59313.58

4 0

4 years ago

The price of a leather coat is $150.00 plus 8% sales tax. What is the sales tax on the leather coat?

olasank [31]

Answer:

$12

Step-by-step explanation:

To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.

5 0

3 years ago

Solve the quadratic equation (2x-3)^2 = 6(3-2x)

LenKa [72]

Answer:

$x=\frac{3\sqrt{2}-3 }{2}$

$x=-\frac{3\sqrt{2}-3 }{2}$

Step-by-step explanation:

Open the brackets first:

$4x^2+9=18-12x$

Simplify:

$4x^2+12x-9=0$

It is determined that this can't be factored, so rewrite the equation so you can complete the square.

$x^2+3x=\frac{9}{4}$

Take the square of 1.5 and add it to both sides:

$x^2 + 3x+ \frac{9}{4} =\frac{9}4} +\frac{9}{4}$

Factor:

$(x+\frac{3}{2})^2=\frac{9}{2}$

$x+\frac{3}{2} = \frac{3\sqrt{2} }{2 }$

or $x+\frac{3}{2} =-\frac{3\sqrt{2} }{2}$

So $x=\frac{3\sqrt{2}-3 }{2}$

or $x=-\frac{3\sqrt{2}-3 }{2}$

5 0

3 years ago

How would you write the name of a ray differently than the name of a line? What symbols would you use?

matrenka [14]

For a line you would draw a straight line with arrows on each end and for a ray you would draw a straight line with an arrow on only one end (depends on which way ray is pointing)

3 0

4 years ago

a motorcyclist traveled a distance of 120 miles in 2 hours. traveling at the same speed how far would this motorcyclist travel i

olga_2 [115]

120/2 = x/5....120 miles to 2 hrs = x miles to 5 hrs
cross multiply
(2)(x) = (120)(5)
2x = 600
x = 600/2
x = 300....the motorcyclist would travel 300 miles in 5 hrs

or u could do it this way..
120/2 = 60 miles per hr
60 * 5 = 300 miles

5 0

3 years ago