50 POINTS The line contains the point (-8,7) and is perpendicular to 3x+2y=-7 The equation of the line is:

Nico is saving money for his college education. He invests some money at 6%, and $1600 less than that amount at 4%. The invest

strojnjashka [21]

Let's say the amounts are "a" and "b"
6% 4%

now... we dunno what "a" is, but nevermind, whatever that is, "b" invested at 4%, is 1600 less than that or less than "a", namely b = a - 1600

so.. "a" is the bigger amount than "b" by 1600, but no matter

what is 6% of a? well, 6/100 * a or 0.06a, that's how much it yielded
what is 4% of b? well, 4/100 * b, or 0.04b, that's much it earned in interests

we know, their yield, or total in earned interest is 156, so.. whatever those yields are, they add up to 156 or

0.06a + 0.04b = 156

now $\bf \begin{cases}
\boxed{b}=a-1600\\\\
0.06a+0.04b=156\\
----------\\
0.06a+0.04\left( \boxed{a-1600} \right)=156
\end{cases}$

solve for "a", to see how much was invested at 6%

how much is "b"? well, b = a - 1600

7 0

3 years ago

If f(x)= <br><img src="https://tex.z-dn.net/?f=x%20-%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title="x - {x}^{2} " alt="x - {x}^

astra-53 [7]

Answer:

f(2+h)=-(h+2/3)^2+1/4

f(x+h)=-(x+h-1/2)^2+1/4

Step-by-step explanation:

1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)

=-(h+2/3)^2+1/4

2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.

a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.

Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4

7 0

3 years ago

Help me with this please I have no idea what to do. It says solve for a if the line through the two given points has the given s

Molodets [167]

Answer:

a=-5

Step-by-step explanation:

When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.

3 0

3 years ago

Read 2 more answers

It costs $0.50 to download an individual song and $4 to download an album jada has $15 to spend downloading music. Sketch a grap

melisa1 [442]

Answer

15$-50¢=14.50-4$=10.50

Step-by-step explanation:

8 0

3 years ago

A stonemason wants to look at the relationship between the density of stones she cuts and the depth to which her abrasive water

garik1379 [7]

Answer: y=374.2 -133 x

Step-by-step explanation: I just did the khan test

Least-squares regression equation

The equation for the least-squares regression line for predicting yyy from xxx is of the form:

\hat{y}=a+bx

y

^

=a+bxy, with, hat, on top, equals, a, plus, b, x,

where aaa is the yyy-intercept and bbb is the slope.

Hint #22 / 4

Finding the slope

We can determine the slope as follows:

b=r\left(\dfrac{s_y}{s_x}\right)b=r(

s

x

s

y

)b, equals, r, left parenthesis, start fraction, s, start subscript, y, end subscript, divided by, s, start subscript, x, end subscript, end fraction, right parenthesis

In our case,

b=-0.95\left(\dfrac{42}{0.3}\right)=-133b=−0.95(

0.3

42

)=−133b, equals, minus, 0, point, 95, left parenthesis, start fraction, 42, divided by, 0, point, 3, end fraction, right parenthesis, equals, minus, 133

Hint #33 / 4

Finding the yyy-intercept

Because the regression line passes through the point (\bar x, \bar y)(

x

ˉ

,

y

ˉ

)left parenthesis, x, with, \bar, on top, comma, y, with, \bar, on top, right parenthesis, we can find the yyy-intercept as follows:

a=\bar y-b\bar xa=

y

ˉ

−b

x

ˉ

a, equals, y, with, \bar, on top, minus, b, x, with, \bar, on top

In our case,

a=41.7 +133 (2.5)=374.2a=41.7+133(2.5)=374.2

3 0

3 years ago