All categories

3 years ago

If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.

Mathematics

2 answers:

mr Goodwill [35]3 years ago

5 0

Answer:

$2000

Step-by-step explanation:

let x be the money she invested

lets assume this was for 1 year

0.09(x/2) + 0.07(x/2) = 160

multiply each side by 2 to cancel the denominators:

0.09x + 0.07x = 320

0.16x = 320

x = 2000

Cloud [144]3 years ago

5 0

Answer: $2000

Let the amount of money she invested be x

Lets assume the time of investment as 1 year

ATQ

0.09(x/2) + 0.07(x/2) = 160

0.09x + 0.07x = 320

0.16x = 320

x = 2000

Must click thanks and mark brainliest

You might be interested in

5/10 and 1/6 are equivalent ratios

CaHeK987 [17]

Answer:

1 : 5 2 : 10 3 : 15 4 : 20 5 : 25

Step-by-step explanation:

3 0

3 years ago

Tennis balls with a diameter of 2.5 in.are sold in cans of three. The can is a cylinder. What is the volume of the space in the

Alexxandr [17]

Using 3.14 for PI.

The radius of a ball and the can is half the diameter = 1.25

The height of the can is the height of 3 diameters = 7.5

Volume of one tennis ball:

4/3 x PI x 1.25^3 = 8.18 cubic inches.

Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.

Volume of can:

PI x 1.25^2 x 7.5 = 36.80 cubic inches.

Space = 36.80 - 24.54 = 12.26 cubic inches.

3 0

3 years ago

Identify the cross section shown circle rectangle triangl trapezoid

const2013 [10]

It is a rectangle

The shaded thing

Must click thanks and mark brainliest

3 0

2 years ago

In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=

just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}$ Given

$\displaystyle 2) \text{ } m \angle PAB = 60$ Definition of equilateral.

$3)\text{ } m \angle QAC = 60$ Definition of equilateral.

$4)\text{ } m\angle PAB = m\angle QAC$ Substitution

$5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC$ Angle Addition

$\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC$ Angle Addition

$7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC$ Substitution

$\displaystyle 8)\text{ } m\angle PAC=m\angle QAB$ Substitution

$9)\text{ } PA=BA$ Definition of equilateral

$10)\text{ } AC=AQ$ Definition of equilateral

$\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ$ Side-Angle-Side Congruence*

$\displaystyle 12)\text{ } PC=BQ$ CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

6 0

2 years ago

Read 2 more answers

How may ways can a committie of 5 selected from a club with 14 members

nikklg [1K]

Answer:

Step-by-step explanation:

14x5

7 0

3 years ago