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s344n2d4d5 [400]
3 years ago
6

The product of a number and 9 falls short of 78 by 6, what is the number? Show working.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

8

Step-by-step explanation:

78 - 6 = 72 (Since the number falls short by six)

72 ÷ 9 = 8 (Number times 9 that equals 72)

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You deposit $400 into an account that pays 2% annual interest compounded quarterly.
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Part A
The exponential model that describes the situation
The formula is
Y (x)=400 (1+0.02/4)^4x
Y (x)=400 (1+0.005)^4x
Y (x)=400 (1.005)^4x
Where x is the number of years

Part B
The value of the account after 5 years
Y (5)=400×(1.005)^(4×5)
Y (5)=441.96

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3 years ago
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7) Adrian used the spinner below for a probability experiment. He spun the
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50%

Step-by-step explanation:

There are 8 tiles on the spinner, 4 of which are red.

4/8 = 1/2 - 50%

There is a 50% chance that the spinner will land on red.

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2 years ago
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)? equilateral triangle
Mrrafil [7]
An acute scalene triangle is formed
5 0
3 years ago
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What can you say about his average speed?
Nikitich [7]
The answer should be E. 223- 6s = 0
5 0
3 years ago
What's the surface area ratio &amp; the volume ratio??<br><br> please help me ASAP!!
Ulleksa [173]

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = \frac{r_1}{r_2} [r_1 and r_2 are the radii of two circles]

2). Area scale factor = \frac{(r_1)^2}{(r_2)^2}

3). Volume scale factor = \frac{(r_1)^3}{(r_2)^3}

Volume scale factor Or Volume ratio = \frac{V_A}{V_B}

                         \frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}

                         \frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }

                         \frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}

                        \frac{r_1}{r_2}=\frac{6}{7}

Therefore, scale factor = \frac{r_1}{r_2}=\frac{6}{7}

                                      ≈ 6 : 7

Area scale factor Or area ratio = (\frac{r_1}{r_2})^2=(\frac{6}{7})^2

                                                   = \frac{36}{49}

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = \frac{648}{1029}

                                                             = \frac{216}{343}

                                                             ≈ 216 : 343

4 0
3 years ago
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