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sesenic [268]
4 years ago
9

HELP FAST all point (50) + brainiest

Mathematics
1 answer:
maks197457 [2]4 years ago
8 0

Answer:

The correct option is 1.

Step-by-step explanation:

Let the amount invested in utility bound be x. So, the amount invested in saving account is (10000-x).

It is given that the yearly income from the two investments is same.

\text{9\% of x}=\text{6\% of (10000-x)}

\frac{9}{100}\times x=\frac{6}{100}\times (10000-x)

\frac{9x}{100}=600-\frac{6x}{100}

\frac{9x}{100}+\frac{6x}{100}=600

\frac{15x}{100}=600

15x=60000

x=4000

The amount invested in utility bound is $4000.

10000-x=10000-4000=6000

The amount invested in saving account is $6000.

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Match each probability word to the probability. *Each will be used once*
snow_tiger [21]
Impossible-0
Unlikely-1/3
50/50 Chance-1/2
Likely-7/8
Certain-1
4 0
3 years ago
A car can travel 400 miles on a full tank of petrol. A more efficient car can travel 30% further. How many miles further can it
xxTIMURxx [149]

Answer:160 miles

Explanation:

You can work out this type of question by using the 'unitary' method, which means finding out how much for ONE.

If you set out the steps with short sentences it will be clearer.

On 15 gallons, a car can travel 400 miles÷15↓

On 1 gallon, a car can travel 400÷15=262

miles

Once you know the distance travelled on 1 gallon of fuel, you can work out the distance travelled for any number of gallons.

On 6 gallons the car can travel

6

×

26

2

3

miles.

(6 times further than on 1 gallon)

6

×

80

3

=

160

miles

4 0
3 years ago
Please help ASAP you get 25 points and star answer
Ganezh [65]

Step-by-step explanation:

D because -2.3 is the number between -2 and -3 but it's not more than -2.5 (half point of -2and -3).

7 0
3 years ago
Alex is a member of the school track and field team. His times for running various distances are shown. Create a scatter plot fo
frozen [14]

Answer:

(1) Please find attached the graph of the data

(2) 160.396 m

(3) The correlation that exist is a straight line correlation

Step-by-step explanation:

The given data are;

Distance,         Time

(m),                    (s)  

50,                    6.1

100,                   12

150,                   18.3

200,                  25.2

250,                   31.7

(2)

Based on the linear regression formula, we have;

b = \dfrac{N\sum XY - \left (\sum X  \right )\left (\sum Y  \right )}{N\sum X^{2} - \left (\sum X  \right )^{2}}

b = \dfrac{5 \times 17215 - 93.3 \times 750}{5 \times 2156.03 -8704.89} = 7.758

a = \dfrac{\sum Y - b\sum X}{N}

a = \dfrac{750 - 7.7581 \times 93.3}{5}= 5.234

The line is

y = 7.7581×x+5.234

When t = 20 s, we have

y = 7.7581*20+5.234 = 160.396 m

(3) The correlation that exist is a straight line correlation

3 0
3 years ago
7y-y=30 show work for it!
Anarel [89]

Answer:

y=5

Step-by-step explanation:

7y-y=6y

30/6 = 6y/6

5 = y

7 0
3 years ago
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