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Step2247 [10]
3 years ago
8

Nico is saving money for his college education. He invests some money at 9% and $1400 less than that amount at 3%. The investmen

ts produced a total of $198 interest in 1 yr. how much did he invest at each rate?
Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0
Let x = the amount of money he invests at 9%
and y = the amount of money he invests at 3%

y = x - 1400
0.09x + 0.03y = 198

x - y = 1400
9x + 3y = 19800

3x - 3y = 4200
9x + 3y = 19800

12x = 24000
x = 2000
y = 600

$2000 invested at 9% interest
and $600 invested at 3% interest.
You might be interested in
The playground of a school has areas fixed for various activities. One-fifth of the playground is used for students to sit and r
sertanlavr [38]

Answer:

2/3* 4/5 = 8/15

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached file below.

Given:

  • One-fifth (1/5)  of the playground is used for students to sit and read
  • 2/3 is used for playing soccer
  • The rest of the playground is used for playing basketball

So assume that the the playground is divided into 5 equal part

=> 1 part is used for students to sit and read or (1/5)

=>  the remaining equal part is 4  or (4/5)

Because 2/3 of the remaining part is used for playing soccer

=> the equation represents the part of the playground used for soccer is:

2/3 of 4/5

= 2/3* 4/5

= 8/15

8 0
3 years ago
Which statement about the graph is true?
Elza [17]

Answer:

O The number of ounces is graphed on the y-axis, and the number of quarts is graphed on the x-axis.

Step-by-step explanation:

This was a multiple choice question right?

I believe O The number of ounces is graphed on the y-axis, and the number of quarts is graphed on the x-axis. is the answer.

6 0
2 years ago
Please help me it’s due today at 11:59
lesya [120]
Okay first I think you might’ve highlighted incorrectly. You want to make sure the angles match with each other. Next you set up a proportion and solve. I’ll draw this all out for you. I hope this helps! :))

7 0
3 years ago
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally li
Butoxors [25]

Answer:

Step-by-step explanation:

The question says,

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.

The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.

Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.

That is as n increases the gamblers will get $0.947 in n places

More generally, as the gambler makes a large number of bets on red, they will lose money.

6 0
3 years ago
What is the slope of the line y=3x-5
xeze [42]

Answer:

The y intercept and the slope are given in the equation. y=mx+b is slope-intercept form. mx is the slope and b is the y intercept. so in y=3x-5, 3x is the slope and -5 is the y intercept (what y is when x is zero).

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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