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devlian [24]
4 years ago
11

David has $100.00 saved in the bank. a payment is taken out of his account for $150.00. he makes a deposit for $50.00 but at the

same time a few for $35.00 is taken out of his account. what is David's resulting balance?
Mathematics
2 answers:
Delvig [45]4 years ago
8 0

Okay, so he started out with started out with $100. He took out $150, which would leave him with a balance of -$50.

Then he deposited $50, but took out $35

So he should have $15 left in his account.

Hope this is right :)

Dmitry_Shevchenko [17]4 years ago
6 0

Gimme a few mins, imma edit this later... ;-;

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A school holds classes from 8:00 a.m -2:00 p.m. For what percent of a 24- hour day does this school hold classes?
kati45 [8]
8:00 a.m all the way until 2:00 p.m.

8:00 a.m. to 12:00 p.m is 4 hours.
12:00 p.m. to 2:00 p.m is 2 hours

8:00 a.m. to 2:00 p.m. is 6 hours.

6 hours out of a 24 hour day.

\frac{6}{24} =\frac{x}{100}\\\\\frac{1}{4} =\frac{x}{100}\\\\\sf{Cross~multiplying}\\\\100 = 4x\\\\\sf{Divide~4~on~both~sides

\boxed{\bf{x =25}}

The school holds classes for 25% of the 24-hour day.
3 0
3 years ago
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alex41 [277]

Answer:

The rate of change will be $25

Step-by-step explanation:

Since she started from $45 we have to count again so on the chart it goes 5, 10, 15, 20, and 25!

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3 0
3 years ago
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Roger made a table showing how he spent his time in one day. How many days
Kazeer [188]

Answer:

3 days will pass

Step-by-step explanation:

work 24×1/3=8

sleep 24×3/8=9

meals 24×1/8=3

computer 24×1/6=4

reach up to 24 with sleep

9+9+9=27

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5 0
3 years ago
I) Find the volume in terms of pie
SVETLANKA909090 [29]

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

3 0
3 years ago
Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|
Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0
3 years ago
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