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3 years ago

What is a number is less than 3000 and if divided by 32 the remainder is 30 and if divided by 58 the remainder is 44?

1 answer:

8 0

I think I know it. The number less than 3000 and if divided by 32 the remainder is 30 is 960.The number less than 3000 and if divided by 58 the remainder is 44 is 2552.

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After 5 years, a $2,450 investment is worth $3,123.75.

kondaur [170]

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

$r=\frac{I}{Pt}$

I = interest amount

P = principal amount

t = time (years)

The first step is to find the interest gained from the investment.

$3,123.75-2,450=673.75$

Next, plug in the values into the equation:

$r=\frac{673.75}{(2,450)(5)}$ Multiply the bottom values

$r=\frac{673.75}{12,550}$ Divide the values

$r=.055$

The last step is to convert 0.055 into a percent:

$0.055(100)=5.5$

The interest rate is 5.5%

3 0

3 years ago

I need help with this one plis quickly !!!

shutvik [7]

Answer:

Step-by-step explanation:

Hard to see but pretty sure thats it

4 0

2 years ago

BRAINLIEST through: (-3,5) parallel to y=-2x-3

umka2103 [35]

Answer:

Parallel Lines have the SAME SLOPE

We first Find the Slope of the line

y = 2 x + 3

The Slope Intercept Form of the equation of a given line is:

y = m x + c

where m is the Slope of that line, and c is the Y intercept. For this line, the Slope is 2 So the Slope of the line PARALLEL to

y = 2 x + 3

will also be 2 . And we are given that it passes through the point

( − 3 , 4 )

With this, we can use the Point Slope form to find the equation of the line.

The Point-Slope form of the Equation of a Straight Line is:

( y − k ) = m ⋅ ( x − h ) m is the Slope of the Line

( h , k ) are the co-ordinates of any point on that Line.

Here, we have been given the coordinates

( h , k ) of 1 point on that line as ( − 3 , 4 )

And the Slope m is 2

Substituting the values of h , k and m in the Point-Slope form, we get

( y − 4 ) = ( 2) ⋅ ( x − ( − 3 ) )

The above will be the Equation of the Line in Point-Slope form.

If we need it in the Slope Intercept Form, we need to follow these steps:

Modifying the equation, we get:

( y − 4 ) = 2 ⋅ ( x + 3 )

y − 4 = 2 x + 6

y = 2 x + 6 + 4

We get the equation of the line as :

y = 2 x + 10

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Show that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).

Len [333]

Step-by-step explanation:

1) if (0;0) if point A, (1;2) is point B; (-1;-2) is C, (2;1) is D, then

2) the vector AB is (1;2); vector AC is (-1;-2) and vector AD is (2;1), then

3) the length of AB, AC and AD are:

$|AB|=\sqrt{1^2+2^2}=\sqrt{5};$

$|AC|=\sqrt{(-1)^2+(-2)^2}=\sqrt{5};$

$|AD|=\sqrt{2^2+1^2}=\sqrt{5}.$

4) if the lengths above are equal, then it means that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).

3 0

2 years ago

Solve the quadratic equation by square roots: 1. 4x²= 81 2. (4x-3)²+7=39

Nataly [62]

Answer:

see explanation

Step-by-step explanation:

(1)

given

4x² = 81 ( divide both sides by 4 )

x² = $\frac{81}{4}$ ( take the square root of both sides )

x = ± $\sqrt{\frac{81}{4} }$ = ± $\frac{9}{2}$

---------------------------------------------------------------------

(2)

subtract 7 from both sides

(4x - 3)² = 32 ( take the square root of both sides )

4x - 3 = ± $\sqrt{32}$ = ± 4 $\sqrt{2}$

Add 3 to both sides

4x = 3 ± 4 $\sqrt{2}$ ( divide both sides by 4 )

x = $\frac{3}{4}$ ± $\sqrt{2}$

7 0

3 years ago