Y = a( x-h)^2 + k

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

2 years ago

Write the equation of a line passing through -1,4 and perpendicular to x+2y=11

Sophie [7]

Y=2x+6
gradient is found from the formula,
$\frac{ - 1}{ - \frac{1}{2} } = 2$
y intercept is found by subbing the values of (-1,4) into the equation y=2x+c

8 0

3 years ago

For 5 points and brainliest to the best correct answer, find the missing measures. Thank you

zzz [600]

Answer:

x = 7
y = 97°
z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

(7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

10x +27 = 97 . . . . . . . collect terms

10x = 70 . . . . . . . . subtract 27

x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

z = 19

__

The missing measures are ...

x = 7
y = 97°
z = 19

_____

Additional comment

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

(7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0

2 years ago

An international company has 27,200employees in one country. If this represents

Mariana [72]

23.2% of the total employees is 27,200

0.232x = 27,200
x = 27,200 / 0.232
x = 117,241 (thats rounded) <==

6 0

2 years ago

A bill for the repair of a laptop was $249. The cost of the parts was $84, and the labor charge was $55 per hour. How many hours

jek_recluse [69]

3 hours.
Explanation
249 total - 84 already paid (for parts) is
165.
165
divided by
55 dollars an hour
is
3 hours worked on repairing.

6 0

2 years ago