Helpp please with all four questions
Helpp please with all four questions - 1

Answers

Answer 1
Answer:

Answer:

Picture 1:

Area of cemicircle 2 π = 6.28 sq.m (approximately)

Total area of figure = 24+6.28= 30.28 sq.m (approximately)

Picture 2:

area of rectangle = 256 sq.m

Area of triangle = 32 sq.m

Total area of figure = 288 sq.m

Picture 3:

Area of top rectangle = 2 sq ft

Area of bottom rectangle = 15 sq ft

Total area of figure = 17 sq ft

Picture 4:

Area of rectangle = 28 sq ft

Area of triangle = 6 sq ft

Area of shaded region = 22 sq ft


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QuestionEnter the exponential function using t (for time) as the independent variable to model the situation. Thenfind the value of the function after the given amount of time.A new savings account is opened with $400 and gains 3.5% yearly for 5 years.The exponential function that models the situation is y = MyAfter 5 years, the savings account has $

Answers

Since, it is an exponential function, thus this is a compound interest problem;

Where; the function is given as;

\begin{gathered} A(t)=P(1+r)^t \n \text{Where A(t)= amount in the savings account at a time t} \n P=ca\text{ pital invested} \n r=\text{rate } \n t=\text{ time} \end{gathered}

Thus, the function required is;

\begin{gathered} A(t)=400(1+(3.5)/(100))^t \n A(t)=400(1.035)^t \end{gathered}\begin{gathered} y=400(1.035)^t \n \text{Where t is the time} \end{gathered}

After 5 years,

\begin{gathered} A(5)=400(1.035)^5 \n A(5)=400(1.1877) \n A(5)=475.07 \end{gathered}

The amount in the savings account after five years is $475.07

Renting a car costs $30 per day, or $600 per month. Renting daily is cheaper for a few days, but after how many days are the two options equal (after which renting monthly is cheaper)?

Answers

Answer:

after 20 days it will be equal

Step-by-step explanation:

i dont have step by step but the problome is 30x20=600

What is the solution to 3/4 a>-16?O a>-21/3
O a<-21
O a> 21-1/
O a <21/13

Answers

\huge\text{Hey there!}

\huge\textbf{Equation:}

\mathsf{(3)/(4)a > -16}

\huge\textbf{Simplifying it:}

\mathsf{(3)/(4)a > -16}

\mathsf{(3)/(4)a > - (16)/(1)}

\huge\textbf{Divide \boxed{(4)/(3)} to both sides:}

\mathsf{(4)/(3)*(3)/(4)a > -16*(4)/(3)}

\huge\textbf{Simplify it:}

\mathsf{a > (4)/(3)* -16}

\mathsf{a > - (16)/(1) *(4)/(3)}

\mathsf{a > (-16*4)/(1*3)}

\mathsf{a > (-64)/(3)}

\mathsf{a > -(64)/(3)}

\mathsf{a > -21 (1)/(3)}

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{- \frak{21(1)/(3)}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

(3a)/(4) > - 16 \n 3a > - 64 \n a > ( - 64)/(3) \n a > 21 (1)/(3)

Which sequence shows the numbers in order from least to greatest?A. 7 5/6, √132, |-5 x 10^2|
B. |-5 x 10^2|, √132, 7 5/6
C. |-5 x 10^2|, 7 5/6, √132
D. √132, 7 5/6, |-5 x 10^2|

Answers

A. is the answer did you need an explanation

The Answer is C. |-5 x 10^2 =-500

Evaluate the expression of 1/2 x3 when x = 4

Answers

Answer: 6

Step-by-step explanation:

1/2 x3 = x4/2

x=4

3 x 4 = 12

12/2 = 6

Factor the trinomial.
The factors of m2 + 12m + 35

Answers

Answer:

(m + 7)(m + 5)

Step-by-step explanation:

Factor, find factors of m² & 35 that, when combined, will give 12m:

m² + 12m + 35

m                 7

m                 5

(m + 7)(m + 5) is your answer.

Check: Use the FOIL method to check.

(m)(m) = m²

(m)(5) = 5m

(7)(m) = 7m

(7)(5) = 35

Combine like terms:

m² + (5m + 7m) + 35 = m² + 12m + 35 √.

Answer:

(m+7) and (m+5)

Step-by-step explanation:

Just had this on a test