Answer:
Sue has a 12% chance of choosing a black dress and a gold necklace (as a fraction: 3/25, and as a decimal: 0.12).
Step-by-step explanation:
To find the probability of two separate events both occurring (in this case, selecting a black dress and a gold necklace), the probabilities are multiplied usually as fractions or decimals.
<u>As fractions:</u>
40% = 4/10
30% = 3/10
4/10 * 3/10 = 12/100 = 3/25, 0.12, or 12%
<u>As decimals:</u>
40% = 0.4
30% = 0.3
0.4 * 0.3 = 0.12 = 3/25, 0.12, or 12%
Answer:
Interest earned = 2713.8
Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.
1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3
Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8
2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8
Hope this helps :)
When x = -1
y + 5x = 6
y = 6 - 5x
y = 6 - (5)(-1)
y = 6 - (-5)
y = 11
when x = 0
y = 6 - 5x
y = 6 - (5)(0)
y = 6 - 0
y = 6
when x = 1
y = 6 - 5x
y = 6 - (5)(1)
y = 6 - 5
y = 1
Answer:
D. 8x=16
Step-by-step explanation:
If y=2x, then
2x+3y=16
2x+3(2x) =16
2x +6x=16
8x=16
Answer: 2 inch dimension will give smallest increase.
Step-by-step explanation:
Length = 3 in
width = 2 in
height = 6 in
Extra cardboard means to find surface area
on doubling the length
length = 6 In
width = 2 In
Height = 6In
Surface area for the above dimensions = 2 [ 6x2+2x6+6x6] = 120 sq in
On doubling the width
length = 3 in
width = 4 in
Height = 6 inch
Surface area for the above dimensions= 2 [ 3x4+4x6+6x3] = 2[54] = 108 sq inches
On doubling height
Length =3 in
width = 2 in
Height = 12 in
Surface area for above dimensions = 2 [ 3x2+2x12+12x3] = 2[6+24+36] = 132 sq inch
On doubling width surface area is minimum.
