Answer:

Step-by-step explanation:
Given that,
The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm
Mass, m = 93.6 g
We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,

So, the density of the steel is
.
Answer:
the future value is $5800.38
Step-by-step explanation:
Given that
The invested amount i.e present value is $500
The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%
The time period is 3 per year so for quartely it is 3 × 4 = 12
We need to find out the future value
So as we know that
Future value = Present value × (1 + rate of interest)^time
= $500 × (1 + 0.0125)^12
= $580.38
hence, the future value is $5800.38
Answer:
6, 10, 8
Step-by-step explanation:
aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4
a₅= -2
a₆= 0
-----------
aₙ₋₂= aₙ₋₁ - aₙ + 4
- a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2
- a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8
- a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10
- a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6
The first 3 terms: 6, 10 and 8
Answer: Sara multiplied by 3 when she should have multiplied by 8.
Step-by-step explanation:
21 : 7*8
7*8 = 56
21 : 56
The simplest form of this ratio is 3 : 8
Answer:
y = x/2 + 5
Step-by-step explanation:
y = x/2 + 5
⇒ y = (1/2)x + 5
which satisfies the linear equation y = mx + b
where m is the slope and b is the y-intercept