Mr. may invested $21,000, part at 8% and the rest at 6%. if the annual income for from both investments were equal find the amount invested at each rate

the amount of money invested at the rate of 8% is $9000

the amount of money invested at the rate of 6%. Is $12000

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 8%.

Let y represent the amount of money invested at the rate of 6%.

Mr. May invested $21,000, part at 8% and the rest at 6%. This means that

x + y = 21000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate of 8%,

P = x

R = 8

T = 1

I = (x × 8 × 1)/100 = 0.08x

Considering the investment at the rate of 6%,

P = y

R = 8

T = 1

I = (y × 8 × 1)/100 = 0.06y

If the annual income from both investments were equal, it means that

0.08x =0.06y - - - - - -1

Substituting x = 21000 - y into equation 1, it becomes

0.08(21000 - y)=0.06y

1680 - 0.08y = 0.06y

0.06y + 0.08y = 1680

0.14y = 1680

y = 1680/0.14 = 12000

Substituting y = 12000 into

x = 21000 - y

x = 21000 - 12000

x = 9000

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.