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Kay [80]
2 years ago
6

Livvi invests $19,430 in a savings account at her local bank which pays 1.8% simple annual interest. She also deposits $16,470 i

n an online savings account which pays 2.7% simple annual interest. After six years, which account will yield more interest, and approximately how much more interest will it yield? a. The online account will give $2,668 more interest. b. The online account will give $570 more interest. c. The local account will give $2,960 more interest. d. The local account will give $2,390 more interest.
Mathematics
2 answers:
noname [10]2 years ago
5 0
I=prt
I interest earned
P principle
R interest rate
T time 6 years

For the first the interest earned is
I=19,430×0.018×6
I=2,098.44

For the second the interest earned is
I=16,470×0.027×6
I=2,668.14 yield more


how much more interest will it yield
2,668.14−2,098.44=569.7=570

So the answer is b
Hope it helps:-)
lukranit [14]2 years ago
4 0
At $19,430 savings with 1.8% annually, the amount yields to $21,528.44 after six years. On the other hand, the deposits of $16,470 at 2.7% simple annual interest creates only $19,138.14. This means that the 2nd strategy works better than the first one. The situation where simple interest occurs naturally is when the principal doesn't change over time. This is true with an interest-only mortgage, for example, where your monthly payments only pay the interest on your loan, but don't pay down the loan itself.

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Vlad1618 [11]

Answer:

The graph that includes points (-3,-3) and (0,3)

Step-by-step explanation:

In the pictures attached, the options are shown.

The equation:

y+3=2(x+3)

has the point-slope form, which is:

y-y₁=m(x-x₁)

where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:

y+3=2(0+3)

y+3 = 6

y = 6 - 3

y = 3

Then, point (0, 3) is on the line.

8 0
2 years ago
The 3rd degree Taylor polynomial for cos(x) centered at a = π 2 is given by, cos(x) = − (x − π/2) + 1/6 (x − π/2)3 + R3(x). Usin
Otrada [13]

Answer:

The cosine of 86º is approximately 0.06976.

Step-by-step explanation:

The third degree Taylor polynomial for the cosine function centered at a = \frac{\pi}{2} is:

\cos x \approx -\left(x-\frac{\pi}{2} \right)+\frac{1}{6}\cdot \left(x-\frac{\pi}{2} \right)^{3}

The value of 86º in radians is:

86^{\circ} = \frac{86^{\circ}}{180^{\circ}}\times \pi

86^{\circ} = \frac{43}{90}\pi\,rad

Then, the cosine of 86º is:

\cos 86^{\circ} \approx -\left(\frac{43}{90}\pi-\frac{\pi}{2}\right)+\frac{1}{6}\cdot \left(\frac{43}{90}\pi-\frac{\pi}{2}\right)^{3}

\cos 86^{\circ} \approx 0.06976

The cosine of 86º is approximately 0.06976.

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2 years ago
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pickupchik [31]
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5 0
2 years ago
A certain temperature measurement is performed 500 times. The mean value is 0 deg F and the standard deviation is 1 deg F. Assum
egoroff_w [7]

Answer:

477

Step-by-step explanation:

Given that:

Number of trials (n) = 500

Mean (m) = 0

Standard deviation (s) = 1

how many readings fall within +/- 2.000 deg F of the mean value

Mean of 0 and standard deviation of 1

P(-2 ≤ x ≤ 2)

Using the Z probability calculator :

P(x ≤ 2) = 0.97725 ;

P(x ≤ - 2) = 0.02275

Hence :

P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545

Hence, number of readings in 500 trials:

0.9545 * 500 = 477.25

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6 0
1 year ago
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Shtirlitz [24]

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

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ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

6 0
2 years ago
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