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2 years ago

He equation shows the relationship between x and y:

Mathematics

1 answer:

son4ous [18]2 years ago

5 0

Answer:

-7

Step-by-step explanation:

y=-7x+9

y=mx+b

m=slope

y=y-intercept

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The amount of snowfall in January was 2 and 3/5

dolphi86 [110]

2 3/5 - 1 1/3 = 2 6/15 - 1 5/15 = 1 1/5

7 0

3 years ago

Descubrí las reglas de formación que se usaron para generar estos números irracionales y escribí las seis cifras decimales que s

Alisiya [41]

Answer:

hola, lo puedes colocar en ingles por favor, seria mas facil para mi

Step-by-step explanation:

4 0

3 years ago

Reflect across the y=x. Fill in the new coordinates below:

Y_Kistochka [10]

Answer:

K' = (8,-4) L' = (4,-7) M' = (1,-2)

Step-by-step explanation:

Simply take the x coordinates and the y coordinates and flip them.

For example, if you have A (2, 4) reflected across y=x, A' would be (4,2).

3 0

3 years ago

Imagine that the intelligence test score (M=100, SD =15) is perfectly correlated with SAT score. Your Z score on SAT is +1.0, yo

Oksanka [162]

Answer:

115

Step-by-step explanation:

Given :

Mean of intelligence score = 100

Standard deviation of intelligence score = 15

Since both are perfectly correlated,

The Zscore ON SAT = +1.0

Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right

This means :

Mean + 1 standard deviation

100 + 1*15

= 115

We could use the Zscore formula directly too:

Zscore = (x - mean) / standard deviation

Zscore = +1 ; x = score

Hence, we have

1 = (x - 100) / 15

1 * 15 = x - 100

15 = x- 100

x = 15 + 100

x = 115

4 0

3 years ago

To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa

Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

The final value of the investments plus the interest is calculated as follows:

$FV=R\cdot\frac{(1+i)^n-1}{i}$

Where:

n = number of total periods of the investment.

n = m*t

$i=\frac{r}{m}$

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

$\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}$

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

$\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}$

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

5 0

1 year ago