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ollegr [7]
3 years ago
12

In investing $6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple inter

est. The rest was invested in a riskier mini-mall development plan paying 9% annual simple interest. The combined interest earned for the first year was $428. How much money was invested at each rate?
Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

3000 x 0.04 + 3200 x 0.09 = 408

2500 x 0.04 + 3700 x 0.09 = 433

2600 x 0.04 + 3600 x 0.09 = 428

Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

You might be interested in
TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?
natta225 [31]

Answer:

x = 5

RTV = 74

Step-by-step explanation:

Given

RTV=16x - 6

VTS=13x+9

Required

Determine the values of x and RTV

Since, TV is a bisector, then

RTS = RTV + VTS --- (1)

and

RTV = VTS -- (2)

Substitute values of RTV and VTS in (2)

16x - 6 = 13x + 9

Collect Like Terms

16x - 13x = 9 + 6

3x = 15

Solve for x

x = 5

Substitute 5 for x in RTV=16x - 6

RTV = 16 * 5 - 6

RTV = 80 - 6

RTV = 74

8 0
3 years ago
What is he slope and y intercept for the line Y=-4x+2​
Sav [38]

y=mx+b

slope is also m

b is the y-intercept

Y=-4x+2​

answer:

slope=-4, y-intercept=2

7 0
3 years ago
It has been conjecture by the U.S. Census Bureau that "approximately 60% of foreign-born people who live in the U.S. are not nat
Rudiy27

Answer:

b. 42 people

Step-by-step explanation:

For each foreigner living in the U.S., there are only two possible outcomes. Either they are naturalized citizens, or they are not. The probability of a foreigner living in the U.S. not being a naturalized citizen is independent from other foreigners living in the U.S. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

"approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens"

This means that p = 0.6

70 foreign-born people who live in the U.S

This means that n = 70

How many people would you expect to get that are not naturalized citizens?

E(X) = np = 70*0.6 = 42

So the correct answer is:

b. 42 people

8 0
3 years ago
1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 number
barxatty [35]

Answer:

1/8 ;

12 / 51

Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

Total number of socks = 18

White, W = 8

Black, B = 6

Blue, C = 4

probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

P(B) * [(P(C) + P(W)]

Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

Without replacement :

P(W or C) = 8/17 + 4/17 = 12/17

Hence,

1/3 * 12/17

= 12 / 51

8 0
3 years ago
Given the function ƒ(x) = 5x2 − 9x + 18, find ƒ(3).
Crank

Answer:

f(3) = 36

Step-by-step explanation:

ƒ(x) = 5x^2 − 9x + 18

Let x =3

ƒ(3) = 5(3)^2 − 9(3) + 18

      = 5*9 -27 +18

      = 45 -27+18

      =36

6 0
3 years ago
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