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3 years ago

13

If the Lafita family deposits 8500$ ina savings account at 6.75% interest, compounded continuously, how much will be the account

after 25 years

1 answer:

julsineya [31]3 years ago

8 0

A=pe^rt
A=8,500×e^(0.0675×25)
A=45,950.57

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Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of (x, y) → (x +

creativ13 [48]

<u>Answer-</u>

Figure 4 is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)

<u>Solution-</u>

The co-ordinates of the vertices are,

L = (-3, 1)

M = (-1, 1)

N = (-1, -1)

P = (-3, -1)

A translation of (x, y) → (x + 5, y – 3) means, the point must be shifted 5 units right and then 3 units down.

After the transformation the new co-ordinates will be,

L = (-3+5, 1-3) = (2, -2)

M = (-1+5, 1-3) = (4, -2)

N = (-1+5, -1-3) = (4, -4)

P = (-3+5, -1-3) = (2, -4)

These are the co-ordinates of the figure no. 4

6 0

3 years ago

Read 2 more answers

What is m=1/2, b=-8 as an equation

Fofino [41]

Answer:

y = 1/2x -8

Hope this helps!!

3 0

3 years ago

Read 2 more answers

24 written as a percentage

Yanka [14]

Any number is equal to that number over 1

So x is equal to x/1

Same thing with 24. 24 = 24/1

To get it into percent we multiply by 100 so:

$\sf{\frac{24}{1}=\frac{24\times100}{1\times100}}$

And simplifying that we get

$\sf{\frac{2400}{100}}$

And x/100 = x%

so 2400/100 = 2400%

So your answer is <em><u>2400%</u></em> :)

5 0

3 years ago

A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the c

nadezda [96]

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

<h3>What is a cone?</h3>

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

$\rm V = \pi r^2 h$

r = 10/2 = 5 FT

h = 12 FT

$\rm V = \pi (5)^2 \times 12$

V = 300π cubic FT

Volume of the cone:

$\rm v = \dfrac{\pi r^2 h}{3}$

$\rm v = \dfrac{\pi (5)^2 \times 12}{3}$

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ1

6 0

2 years ago

A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate o

dsp73

Answer:

rate of motorboat: b

rate of current: c

So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$

Step-by-step explanation:

d = rt

200 = (b - c)\cdot 5

200 = (b + c)\cdot 4

b - c = 40

b + c = 50

Adding these equations, we get:

2b = 90

b = 45

So

c = 50 - 45 = 5

<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>

Hope this helps :)

4 0

3 years ago