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alexandr1967 [171]
3 years ago
13

A bank advertises an interest rate of 4% per year, compounded monthly

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Given :

Interest rate , r = 4 %.

To Find :

The APY .

Solution :

APY is given by :

APY=(1+\dfrac{r}{n})^n-1

Here , r is compound interest and n is number of time compounded .

So ,

APY=(1+\dfrac{r}{n})^n-1\\\\APY=(1+\dfrac{4}{12})^{12}-1\\\\APY=30.57\%

Therefore , APY is 30.57 % .

Hence , this is the required solution .

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Bryce intended to swim directly across a stream that is 99 meters wide. But the current caused him to arrive at the opposite sho
Misha Larkins [42]

Answer:

101 meters

Step-by-step explanation:

The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.

leg 1 = 99 m

leg 2 = 20 m

hypotenuse = ?

We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

99^2 + 20^2 = c^2

9801 + 400 = c^2

c^2 = 10201

c = sqrt(10201) = 101

Answer: 101 meters

6 0
3 years ago
Which of these is equivalent to the following expression? 5s - 11b + 3s - 12b A. -b + 8s -B.23b + 2sC. -23b + 8s D. b + 8s
Marina86 [1]

Answer:

Option b) and c) are correct

Step-by-step explanation:

Given expression is  5s - 11b + 3s - 12b

5s - 11b + 3s - 12b=8s-23b (Rearranging the right hand side terms)

5s - 11b + 3s - 12b =-23b+8s

Option c) is correct

By the definition of equivalent the given expression is the sum of the two terms ( the terms may vary or equal)

From the definition of equivalent we get, Option b) is also correct

Therefore  Option b) and c) are correct

4 0
3 years ago
A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The
disa [49]

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ±  5.09

=-2.09, 8.09  is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

5 0
3 years ago
What is the equvilent fraction of 7•4 OVER 1002•9
galina1969 [7]
14 over 4509 would be an equvilent fraction
7 0
3 years ago
Read 2 more answers
Point A is plotted at (-5, 3)
Diano4ka-milaya [45]

Answer:

quadrant 1

Step-by-step explanation:

quadrant 1 is (-,+)

5 0
3 years ago
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