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rodikova [14]
3 years ago
5

Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

20 pts

Step-by-step explanation:

 

50 points corresponds to a 100% grade.  How many points (x) correspond to a 40% grade?

     x            40%

------------ = ---------

50 pts       100%

Then 100x = 2000, and so x = 20.

A score of 20 points would correspond with a test score of 40%.  

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Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are
kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

0.08 = 12 × 0.00095 = 0.0114t

t = 0.08/0.0114

t = 7 years

8 0
3 years ago
7/11÷2/5=<br>A.1/11<br>B.22/35<br>C.5/6<br>D.35/22
Tamiku [17]
The answer's D. 35/22

Well i have to write 20 words so dont mind this part
7 0
3 years ago
Pls help me very urgently needed
Kisachek [45]
Ratio is 7:9
add the ratio it becomes 16
272 members divided by 16
that makes it 17 per one ratio
women ratio is 9
17x9 is 153
i=153 women in the sports club

same thing with ii except it’s divided by 7
91/7 is 13
which means 13 per ratio
there are 9 ratios of women
9x13=117
ii=117 women in a sports club with 91 men with a ratio of 7:9
4 0
3 years ago
What kind of angle is formed by the tangent to a circle and a radius of that circle?
Vsevolod [243]
A tangent is always perpendicular to the radius at the point of tangency.

A right angle.
6 0
3 years ago
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On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Semenov [28]

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9

7 0
3 years ago
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