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3 years ago

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

3 0

Answer:

The midpoint is (2 , 1)

Step-by-step explanation:

To find the midpoint, we have to add the corresponding coordinates

[(-5 , 3) + (3 , -1)] / 2

we separate into the corresponding

(-5 + 3) / 2 =

-2 / 2 = -1

(3 - 1) / 2 =

2 / 2 = 1

The midpoint is (2 , 1)

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$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned

Anettt [7]

Answer-

$2000 were invested at 5%

Solution-

Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%

We know that,

$i=\dfrac{P\cdot r\cdot t}{100}$

Putting the values,

$i_1=\dfrac{P_1\cdot r_1\cdot t}{100}$

$i_1=\dfrac{x\cdot 5\cdot 1}{100}=\dfrac{5x}{100}$

And

$i_2=\dfrac{P_2\cdot r_2\cdot t}{100}$

$i_2=\dfrac{(6000-x)\cdot 3\cdot 1}{100}=\dfrac{3(6000-x)}{100}$

According to the question,

$\Rightarrow \dfrac{5x}{100}+\dfrac{3(6000-x)}{100}=220$

$\Rightarrow \dfrac{5x+3(6000-x)}{100}=220$

$\Rightarrow 5x+3(6000-x)=22000$

$\Rightarrow 5x+18000-3x=22000$

$\Rightarrow 5x-3x=22000-18000$

$\Rightarrow 2x=4000$

$\Rightarrow x=2000$

Therefore, $2000 were invested at 5%

8 0

3 years ago

Read 2 more answers

HELP PLEASE!

V125BC [204]

There are several ways to find the zeros of a quadratic function. One of my favorite is to use a graphing calculator to graph it. The zeros can be read directly from the graph.

The zeros are -5 and 6.

5 0

3 years ago

Which graph represents the function h(x)=x+0.5

Fynjy0 [20]

Answer:

The correct graph of h(x) will be number 3 (c).

Step-by-step explanation:

We have the function h(x) = |x| + 0.5

On putting x=0, in the function h(x), we get,

h(0) = |0| + 0.5

h(0)=0 + 0.5

h(0)=0.5

Thus, the point (0,0.5) lie on the graph of h(x).

3 0

3 years ago

Find the slope of the line containing the pair points (9,5) (6,4)

joja [24]

Answer:

y=1/3x+2

Step-by-step explanation:

3 0

4 years ago

What is the first term in a geometric sequence if the common ratio is −4 and the sum of the first four terms is −255?

posledela

Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1

Hope this helped! Let me know if you have any questions.

8 0

3 years ago