The solution to the linear expressions are:
- a. $36.26
- b. -$19.35
- c. $70.38
<h3>Solving linear expressions:</h3>
The solution to linear expression is determined by taking into consideration the arithmetic operations used in each linear expression.
From the information given:
a. $18.79 + $2.11 + ‐$1.92 + $17.28
By rearrangement:
= $18.79 + $2.11 + $17.28 ‐$1.92
= $36.26
b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52
By rearrangement:
= $7.45 + $74.17 ‐ $24.45 ‐ $76.52
= -$19.35
c. $98.45 − $10.63 + $2.82 − $20.26
By rearrangement:
= $98.45 + $2.82 − $10.63 − $20.26
= $70.38
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Answer:
surface area we can also take it as total surface area
9 is the radius and 5cm is the height . as they asked total surface area we have to take the area of base so tht we can make it as
total surface area = csa of cylinder + area of base
we know that,
2pirh+pir²
pir(2h+r)
pir(2×5+9)
pir(10+9)
pir(19)
22/7×9×19
3762/7
=> 537.42 cm² is the answer.
Answer: it will take 13.3 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 6000
A = 10000
r = 4% = 4/100 = 0.04
n = 12 because it was compounded 12 times in a year.
Therefore,.
10000 = 6000(1 + 0.04/12)^12 × t
10000/6000(1 + 0.0033)^12t
1.67 = 1.0033^12t
Taking log to base 10 of both sides, it becomes
Log 1.67 = 12tLog 1.0033
0.223 = 12t × 0.0014
0.223 = 0.0168t
t = 0.223/0.0168
t = 13.3 years
The value of the function at x = -1 is 5
<h3>What is function?</h3>
Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.
From the information given, we have that;
f (x) = 3 (2)x with x=-1
Now, let's substitute the value of x as - 1 in the function given;
f (x) = 3 (2)x
f (x) = 3 (2) -1
Expand the bracket;
f (x) = 6 - 1
f(x) = 5
Thus, the value of the function at x = -1 is 5
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