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creativ13 [48]
3 years ago
6

Michael will attend college in 5 years. He anticipates he will need $19,000 to pay for the first year. He currently has $6,400 i

n a savings account.
Without including any interest earned, what is a reasonable estimate of the amount Michael needs to deposit into his savings account each month over the next 5 years to be able to pay for his first year of college?
$200
$350
$500
$650
Mathematics
2 answers:
inna [77]3 years ago
6 0

Answer:

A reasonable estimate close to $210 is $350.

Step-by-step explanation:

Actually Michael has $6400 in savings account and he needs to save each month to achieve the goal of $19000 in 5 years. Then, he needs to save

19000-6400 = 12600 dollars in 5 years.

Now, 5 years are 5*12 = 60 months. Then to calculate the estimate he needs to save per month we need to divide the amount of money that he needs to save by the number of months.

12600/60 = 210. Then, he needs to save in his savings account $210 each month to be able to pay his first year of college in 5 years. In the options, $200 per month is not enough to save the total amount and there isn't an option of $210, then a reasonable estimate close to $210 is $350.

disa [49]3 years ago
3 0
He would need $210 per month, so round to $200
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B)<br>9f + 101 - 12f<br>Simply ​
Ad libitum [116K]

Answer:

-3f+101

Step-by-step explanation:

6 0
3 years ago
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The speed of a car after accelerating for 8 seconds is inversely proportional to its weight. The car weighs 1600 kg and accelera
STatiana [176]

Answer:

With 800 extra kg load: speed = 66.667 km/h

With 2400 extra kg load: speed = 40 km/h

Step-by-step explanation:

Let's call the weight of the car W = 1600 kg, and its speed after accelerating for 8 seconds with this weight S = 100 km/h

If we load the car with 800 extra kg, the total weight will be:

W2 = W + 800 = 2400 kg

The relation between the weights is:

W2 / W = 2400 / 1600 = 1.5

If the weight increased 1.5 times, the relation between the speeds will be 1/1.5 (as they are inversely proportional), so:

S2 / S = 1 / 1.5

S2 = S / 1.5 = 66.667 km/h

If we load the car with 2400 extra kg, the total weight will be:

W3 = W + 2400 = 4000 kg

The relation between the weights is:

W3 / W = 4000 / 1600 = 2.5

If the weight increased 2.5 times, the relation between the speeds will be 1/2.5, so:

S3 / S = 1 / 2.5

S3 = S / 2.5 = 40 km/h

3 0
3 years ago
Read 2 more answers
The second question for jim
andrezito [222]
Problem 1

1a) Jon created a torus while Nadia created a cone. A torus is basically a donut shaped 3D object. You can think of it as a 3D inflatable pool ring (lifeguard pool ring), or one of the rings from the game of ring toss. 

------------------------

1b) Each plane of symmetry that Nadia points out is a plane that runs through points B and C. In a similar manner, Jon has the same plane of symmetry. Both have infinitely many planes of symmetry of this nature.

For Jon, his torus or donut shaped object can be cut in half along the horizontal axis. Imagine cutting a bagel so you can apply cream cheese or butter or whatever item you like. Each half of the bagel would be congruent to one another. This is the "plus 1" Jon is talking about.

This horizontal cut cannot be applied to Nadia's cone. If she were to cut her cone anywhere along a horizontal plane then she'd have a frustum at the bottom and a smaller cone up top (instead of two congruent smaller cones)

note: to be fair, infinity+1 is the same as infinity. They both describe the idea of listing numbers forever. We can add any number to infinity to get infinity. 

=========================================

Problem 2

2a) To reflect over the xz plane, we keep the x and z coordinates the same. Only the y coordinate flips from positive to negative (or vice versa). For instance, the point P(0,5,4) becomes P'(0,-5,4) after such a reflection.
 
The algebraic way to write the rule is
(x,y,z) ---> (x,-y,z)

------------------------

2b) After applying the reflection rule, you should get the following

P(0,5,4) ---> P ' (0,-5,4)
Y(-2,7,4) ---> Y ' (-2,-7,4)
R(0,7,4) ---> Y ' (0,-7,4)
A(0,7,6) ---> Y ' (0,-7,6)

Once again, only the y value is changing. The sign of the y value specifically.

------------------------

2c) It's not entirely clear what your teacher means by "back", "left" and "up". Why is that? Because there are at least 2 different ways to orient the xyz axis. 

One such way is to have the z axis sticking up and have the xy axis as the "floor" so to speak. Another way is to have the z axis come out of the board and have the y axis sticking up (so the xy axis is flat against the wall). 

Concepts of "left", "right", "up", "down", etc are all relative to your frame of reference. One person's "up" is another person's "down". Unfortunately I don't think there's enough info to solve here. It would have been much more ideal if your teacher said something like "3 units along the x axis" rather than "3 units back". 

------------------------

2d) See part C above. There isn't enough info (at least, in my opinion anyway).

=========================================

Problem 3

3a) A cylinder forms. The rectangle RECT is basically a revolving door. When you spin the revolving door really fast, it leads to the illusion of a 3D cylindrical block. You can also picture a propeller fan to visualize the same basic idea. This cylinder has a height of TC = 3 units. The radius is EC = 5 units.

------------------------

3b) 
From part A, r = radius = 5, h = height = 3
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*pi*5^2 + 2*pi*5*3
SA = 50*pi + 30*pi
SA = 80*pi <--- exact surface area
SA = 251.3274 <--- approx surface area
surface area is in square units

------------------------

3c) 
Use the same dimensions (r = 5, h = 3) from part B
V = pi*r^2*h
V = pi*5^2*3
V = pi*25*3
V = pi*75
V = 75*pi <--- exact volume
V = 235.6194 <--- approx volume
volume is in cubic units
4 0
3 years ago
What is the value of h in the triangle below?
VMariaS [17]
I believe it is 2, not 100 percent sure but I think its right
6 0
3 years ago
Neeed helpppp asppp I ready math
nikitadnepr [17]

Answer:

D because we just distribute the 0.5

Hope this helps and brainliest please

6 0
2 years ago
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