Answer:
Therefore Neither option A nor option B will allow them to meet their goal....
Step-by-step explanation:
The Polleys need to save $6,000 over 12 months.
After 7 months they discovered that they have saved $ 3,100 but in actual they have to save $3,500. It means $400 are short. Therefore for the remaining months they must save $6000-$3100 = $2900. They have to save 2900/5 = $580 each month.
According to the Option A The original amount was $500, in 5 months they will save 500*5 =$2500. They need total of $2900, which means $400 are short.
According to the Option B Increase savings each month by $100 from their original plan makes a total amount of $3000. This amount exceeds their goal.
Therefore Neither option A nor option B will allow them to meet their goal....
Answer:
A. -4
Step-by-step explanation:
Slope is rise over run, or y2-y1 / x2-x1.
<u>The slope is A. -4.</u>
Let's see--does that make sense? A slope of four would be pretty steep, and that matches the graph. It also should be negative because the line goes down and to the right, not up and to the right, so -4 makes sense!
The cost of the bond
6×1,000×0.92=5,520
<span>To draw two number lines showing that 0.200 and 1/5 are equivalent, we draw a number line divided into 5 equal segments with range from 0 to 1.0, the points on this line will be at 0.2,0.4,0.6,0.8 and 1.0. Next we draw second number line with range from 0 to 5/5 with 5 equal segments. The points on this line will be 1/5, 2/5,3/5,4/5 and 5/5. The equal segments will show that these values 0.200 and 1/5 are equivalent.</span>
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
