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3 years ago

Please help, I will give brainliest!!!

Mathematics

1 answer:

swat323 years ago

6 0

Answer:

D is the true statement

Step-by-step explanation:

h(4)=13 and h(20)=13, so h(4)=h(20) and it is not true that h(4)<h(20)

This is untrue as we can see that the graph reaches its peak at h(12), so it would be symmetric about the line t=12, not t=10.

This is untrue as for all values of t less than 24, the height above the ground, h(t), is greater than zero.

This is true because as we can see from the table, when t values are equal distances from 12 (eg. 8 and 16), their h(t) values are the same.

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Twice a year for 15 years, Warren Ford invested $1,700 compounded semiannually at 6% interest. What is the value of this annuity

-BARSIC- [3]

The value of Warren Ford annuity due is $80,878.21

Define Future Value of an Annuity.

The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

Given,

Payment fund semiannually is = $1,700

Rate = 6% or 0.06

Time = 15 years

The future value is,

FVₙ =PMT( (1+i/m)ⁿ - 1 ) / (i/m) )

Where,

PMT = $1,700

i = 0.06

m = 2

n = 15 * 2 = 30 periods

Now, plug in the values

FV₃₀ = PMT ( (1 + 0.06/2)³⁰ - 1 ) / (0.06/2) )

= $1,700( (1.03)³⁰ - 1 ) / (0.03) )

≈ $80,878.2067 or $80,878.21

Hence, the value of Warren Ford annuity due is $80,878.21

To read more about Future Value

brainly.com/question/27011316

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6 0

1 year ago

The volume of a right rectangular shipping carton is 948.75 cubic meters. The height of the shipping carton is 11 meters, and th

Snowcat [4.5K]

The answer is 11.5 meters. You have to multiply the height and width and then divide the volume by the product of the height and width's product.

5 0

4 years ago

Read 2 more answers

Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select

kiruha [24]

Answer:

$250 \leqslant 57m$

$57m \: \geqslant 250$

Step-by-step explanation:

Minimum is a word meaning greater than or equal to.

Hope this helps!

If you have anyother question feel free to ask!

7 0

1 year ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

Find the equation of the line below.

UNO [17]

y=5x is your answer :)

5 0

4 years ago

Read 2 more answers