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Allushta [10]
3 years ago
9

Tina wants to save money for school. Tina invests $700 in an account that pays an interest rate of 4%. How many years will it ta

ke for the account to reach $1,800? Round your answer to the nearest hundredth
Mathematics
2 answers:
adelina 88 [10]3 years ago
4 0

Answer:24.08

Step-by-step explanation:

log 2.57143 = log (1.04)^t simplify

blagie [28]3 years ago
3 0
T=log (A/p)/log (1+r)

A future value 1800
P present value 700
R interest rate 0.04
T time ?

T=log(1,800÷700)÷log(1+0.04)
T=24.08 round your answer
T=24 years

Hope it helps:-)
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A plane travelled at an average speed of 528.6 km/h on a flight. How far did the plane travel in 4.75 hours? Round off your answ
KatRina [158]

Answer: 2,511 km

Step-by-step explanation:

5828.6*4.75 = 2,510.85 rounded to 2,511

5 0
2 years ago
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of sho
Vilka [71]

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Download xlsx
4 0
3 years ago
Read 2 more answers
What is the mean of the data set in the box below?<br> -8, -6, - 2, 0, -6, - 8. 4, 7, 8, 1
Andreas93 [3]
The mean of the data set in the box below is -1
3 0
3 years ago
Diego bought some raisins and walnuts to make trail mix.
Lilit [14]

Answer: You could only buy 1 pound of raisins and 1 pound of walnuts

Step-by-step explanation:

$8=1 pound of walnuts

$15-$8=$7

$4=1 pound of raisins

$7-$4=$3

$3 is not enough to buy a pound of raisins since it’s one dollar off but it is also not enough to buy a pound of walnuts because it’s off by $5

3 0
3 years ago
Read 2 more answers
Felipe is giving a speech at graduation. The first part of speech is 2. 35Minutes long. The second part of the speech is 2.41 mi
DerKrebs [107]
First part of the speech + the second part = the total time
2.35 minutes + 2.41 minutes = 4.76 minutes
So Felipe’s speech is less than five minutes.
Hope that helps!
5 0
3 years ago
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