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Softa [21]
3 years ago
9

Nico is saving money for his college education. He invests some money at 8%, and $1400 less than that amount at 7%. The investme

nt produced a total of $262 interests in 1 yr. How much did he invest at each rate ?
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

.05x+.04(x-1,900)=185

.05x+.04x-76=185

.09x=185+76

.09x=261

x=261/.09

Step-by-step explanation:

You might be interested in
A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s
Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

H_o: \mu = 178

Alternative hypothesis:

H_1: \mu \neq 178

The t-test statistics is determined by using the formula:

t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}

t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}

t = \dfrac{-0.5}{\dfrac{2}{5}}}

\mathbf{t= -1.25}

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value  = 2.064

Decision rule: To reject the null hypothesis if the test statistics  is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that  the difference exists due to chance since the test statistic is small

5 0
3 years ago
Eric and his two sister shared amount of money in ratio2:7 respectively. If Eric had 300.00 and the remaining amount shared equa
photoshop1234 [79]

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

7 0
2 years ago
Please help me with this problem​
AleksandrR [38]

Answer:

The answer to your question is Area = 6 u²

Step-by-step explanation:

Process

To find the area of the picture divide the figure between a square and a right triangle, determine the area of each figure and finally add them up.

1.- Calculate the area of the square

Area = side x side

        = 2 x 2

        = 4 u²

2.- Calculate the area of the triangle

Area = base x height / 2

base = 2   height = 2

Area = 2 x 2 /2

Area = 2 u₂

3.- Total area

Area = 4 + 2

       = 6 u²

3 0
3 years ago
Which of the following has the greatest value? a. 5 − 9 c. 5 + (−9) b. −5 − 9 d. −5 − (−9) e. −5 + (−9)
shtirl [24]

Answer:

-5 - (-9)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Mhanifa please help! Explain how you can use the perpendicular bisector of a segment to draw an isosceles triangle.
Anna007 [38]

Answer:

If you construct the perpendicular bisector of a line segment, every point on the perpendicular bisector will be the same distance from both point A and point B.

To construct an isosceles triangle, you can start from any point on the perpendicular bisector and draw line segments to point A and to point B

7 0
3 years ago
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