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4 years ago

Suppose you invest $5,000 at 9% interest,

Mathematics

1 answer:

larisa86 [58]4 years ago

4 0

Answer:

$5000*(1,09)^10=~ $11836.82

Step-by-step explanation:

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Tina's user ID is a 5-digit number.

Olin [163]

Answer:

98547

Step-by-step explanation:

6 0

3 years ago

You are choosing between two plans at a discount warehouse. Plan A offers an annual membership fee of $30 and you pay 90% of t

docker41 [41]

The cost for plan A and plan B at a discount warehouse is $57 and $153 respectively.

<h3>Equation</h3>

Plan A:

Membership fee = $30

Manufacturer's recommended list price = 90%

= 90% × 30

= 0.9 × 30

= $27

Total cost of plan A = $30 + $27

= $57

Plan B:

Membership fee = $90

Manufacturer's recommended list price = 70%

= 70% × 90

= 0.7 × 90

= $63

Total cost of plan B = $90 + $63

= $153

Therefore, the cost for plan A and plan B at a discount warehouse is $57 and $153 respectively.

Learn more about equation:

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4 0

2 years ago

Is the number of members of Club X greater than the number of members of Club Y ? (1) Of the members of Club X, 20 percent are a

Oliga [24]

Answer:

Yes

Step-by-step explanation:

The 20% of members of club X that are also members of club Y can be written as: P(Y/X) = 20% (that is, the probability of belonging to Y given that it belongs to X)

The 30% of members of club Y that are also members of club X can be written as: P(X/Y) = 30% (that is, the probability of belonging to X given that it belongs to Y)

The formula of conditional probability of A given B is

P(A/B) = (A∩B) / P(A)

Where (A∩B) is the probability that both events A and B occur and P(A) is the probability of A.

Based on that, we can write,

P(Y/X) = P(Y∩X) / P(X) = 20 % = 0.2

P(X/Y) = P(Y∩X) / P(Y) = 30 % = 0.3

Clearing P(Y∩X) of both equations and equalizing,

P(Y/X).P(X) = P(X/Y).P(Y)

Moving terms ,

P(X) / P(Y) = P(X/Y) / P(Y/X) = 0.3 / 0.2 = 1.5

That is, P(X) is 1.5 times P(Y), which means that the amount of members of X is greater than the members of Y.

7 0

3 years ago

Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.

zavuch27 [327]

Answer:

The smallest power of 10 that will exceed $M$ is $10^{6}$ .

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

$x.y \times 10^{n}$ , $\forall \,x,y\in \mathbb{N}$

Where:

$x$ - Integer part, formed by a digit, which is of the highest order.

$y$ - Decimal part, formed by a digit onwards.

$n$ - Power grade.

The smallest power of 10 that will exceed M is $10^{n+1}$

If $M = 118,526.65902$ , then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of $M$ in scientific notation is:

$M = 1.1852665902\times 10^{5}$

Then, the smallest power of 10 that will exceed $M$ is $10^{6}$ .

5 0

4 years ago

Given the figure below, find the values of x and z.

iragen [17]

Answer:

x=6 and z=107

Step-by-step explanation:

From the figure or diagram we can say that

z+15x-17=180 ---(1)

z+11x+7=180 ---(2)

Subtracting (1) and (2)

z+15x-17-(z+11x+7)=180-180

4x-24=0

4x=24

x=6

Substitute x=6 in (2)

z+11(6)+7=180

z+66+7=180

z=180-73

z=107

4 0

3 years ago