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ipn [44]
2 years ago
14

Amelia invests money in an account paying simple interest. She invests $100 and no money is added or removed from the investment

. After one year, she has $101. What is the simple percent interest per year?
Mathematics
2 answers:
defon2 years ago
6 0

Answer:

\textsf {1 percent}

Step-by-step explanation:

\textsf {Simple Interest Formula :}

\mathsf {I = P \times r \times t}

\textsf {Given :}

\textsf {I = 101 - 100 = 1}

\textsf {P = 100}

\textsf {t = 1}

\textsf {Solving :}

\mathsf {1 = 100 \times 1 \times r}

\mathsf {r = \frac{1}{100}}

\mathsf {r = 0.01}

\textsf {r = 1 percent}

miv72 [106K]2 years ago
4 0

Let's see

  • Principal=$100
  • Final=$101

Total interest earned=101-100=$1

Now

  • Interest rate=1/100×100=1%
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Factor By Grouping x^2 -30 +225-y^2
SIZIF [17.4K]
The answer is 2x-6 I think
3 0
3 years ago
Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Yakvenalex [24]

Answer:

value of a = 6.93 m

hence , (b.)

Step-by-step explanation:

the given triangle is a right angled triangle, so

by using trigonometry.

=》

\tan(a)   = \tan(30)  =  \frac{1}{ \sqrt{3} }

and we know,

=》

\tan(a)  =  \frac{a}{b}

so, by above values of tan ( a ) we get,

=》

\frac{a}{b}  =  \frac{1}{ \sqrt{3} }

=》

\frac{a}{12}  =  \frac{1}{ \sqrt{3} }

=》

a = \frac{12}{ \sqrt{3} }

=》

a = 4 \sqrt{3}

=

=》

a = 6.93

hence, a = 6.93 m

4 0
3 years ago
Triangle EFG is an isosceles triangle with EG=EF. What is the approximate length of EF, and what is the approximate perimeter of
sineoko [7]

Answer:

B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.

Step-by-step explanation:

First step is to determine the length of EF, since that will give us 2 sides of the triangle (since EG = EF).

From the diagram, we can easily make a rectangle triangle by dropping a vertical line from vertex E, let's name Z the meeting point of that line with the segment GF.  Then we have a rectangle triangle EZF with a height of 4 and a base of 2, of which EF is the hypotenuse. So...

EF² = 4² + 2² = 16 + 4 = 20

EF = √20 = 4.47

Now that we have EF, we also have EG:

EF = 4.47

EG = 4.47

GF = 4 (visible on the graph)

Perimeter = 4.47 + 4.47 + 4 = 12.94 units.

7 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars(s).
kirza4 [7]

Answer:

(a)23 (b)90 (c)3

Step-by-step explanation:

The equation for the line of best fit for this situation is given as

y=\frac{3}{10}x+8

where x=average temperature in degrees

y=average number of hot dogs she sold,

(a) The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.

When x=50°

y=\frac{3}{10}X50+8=15+8=23

When the temperature is 50°, the expected number of hot dogs sold would be 23.

(b)If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.  

If y=35

35=\frac{3}{10}x+8\\35-8=\frac{3}{10}x\\27=\frac{3}{10}x

Multiply both sides by 10/3

27 X \frac{10}{3}= \frac{3}{10}x X \frac{10}{3}\\x=90^{0}

If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.  

(c) Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

3 0
3 years ago
rhombus has sides of length 10 cm. and the angle between two adjacent sides is 76 degrees. Find the lengths of the other diagona
lisabon 2012 [21]
Let the length of one of the diagonals be 2x and the other be 2y, then
cos (76/2) = x/10
x = 10 cos 38 = 7.88 cm

sin (76/2) = y/10
y = 10 sin 38 = 6.16 cm
3 0
3 years ago
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