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3241004551 [841]
3 years ago
11

Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit

$80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?
Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer: 8 weeks

Step-by-step explanation:

He originally had $315 in his account. This figure increased to $955. It therefore increased by:

= 955 - 315

= $640

If he deposited $80 every week, the number of weeks it would take to deposit $640 is:

= 640/80

= 8 weeks

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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time
d1i1m1o1n [39]

Answer:

a)s=\sqrt{1+d^2}

b)d(t)=500t

c)s(t) =\sqrt{1+250000t^2}

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

Hypotenuse^2=Perpendicular^2+Base^2

s^2=1^2+d^2

a) s=\sqrt{1+d^2}

(b) Express d as a function of the time t (in hours) that the plane has flown.

distance = speed \times time

d(t)=500t

(c) Use composition to express s as a function of t.

s(t) =\sqrt{1+d^2}

using b

s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}

6 0
3 years ago
14 pies eaten in 2 minutes what's the rate
anyanavicka [17]

Answer:

7 pies per minutes

Step-by-step explanation:

14/2 =7

so 7 is your number of pies eaten in one minutes

4 0
3 years ago
Read 2 more answers
Please help me on this
Readme [11.4K]

For this case we have to define root properties:

\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a

In addition, we know that:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

On the other hand:

4 ^ 2 = 16

Thus, we can rewrite the given expression as:

\sqrt {4 ^ 2 * a ^ 8 * \frac {1} {b ^ 2}} =\\4 ^ {\frac {2} {2}} * a ^ {\frac {8} {2}} * \frac {1} {b ^ {\frac {2} {2}}} =\\4 * a ^ 4 * \frac {1} {b}

ANswer:

Option B

3 0
3 years ago
The triangles are similar. What is "a" equal to? What is "b" equal to?
TEA [102]
Yes they are if that helps, if you still are unsure than just mesure them and you will see
5 0
3 years ago
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Part 1: Write the equation of the line that passes through the points (–1, –4) and (2, 5).
jeyben [28]
Y - (-4) = (5 - (-4))/(2 - (-1)) (x - (-1))
y + 4 = (5 + 4)/(2 + 1) (x + 1)
y + 4 = 9/3 (x + 1)
y + 4 = 3(x + 1)
y + 4 = 3x + 3
y = 3x + 3 - 4
y = 3x - 1

5 0
3 years ago
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