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3 years ago

If you can help please answer

Mathematics

1 answer:

irinina [24]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

3. $\angle BCA = \angle CAD$

Reason

By alternate interior angles

4. $\triangle ABC \cong \triangle CDA$

Reason

By SAS

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Margo’s Dad offers to give her 5 cents on sunday. Then for each day of the week, he offers to give her 5 times the amount from t

goblinko [34]

Answer:

Step-by-step explanation:

First you need to do 5x5=25

6 0

3 years ago

Read 2 more answers

The population of a certain species of insects increases exponentially according to the model, P(0) = 952e0.12t where P is the n

NeX [460]

Answer:

A) 952 insects are in the original colony

B) 10494 insects are in the colony after 20 weeks

C) 25 weeks

Explanations:

The model representing the population of the species of insects

$P(t)=952e^{0.12t}$

An exponential growth is of the form:

$P(t)=P_0e^{kt}$

where P₀ is the original population

t is the time taken in weeks

Comparing the two equations:

$P_0=\text{ 952}$

952 insects are in the original colony

B. The number of insects that will be in the colony after 20 weeks

Substituting t = 20 into the function given

$\begin{gathered} P=952e^{0.12(20)} \\ \text{P = }10494 \end{gathered}$

C) If the population, P = 20000

$\begin{gathered} 20000=952e^{0.12t} \\ e^{0.12t}=\text{ }\frac{20000}{952} \\ e^{0.12t}=21.008 \\ 0.12t\text{ = ln(21.008)} \\ 0.12t\text{ = }3.04 \\ t\text{ = }\frac{3.04}{0.12} \\ t\text{ = }25 \end{gathered}$

8 0

1 year ago

Which expression represents the greatest common factor (GCF) of 16 and 40?

zlopas [31]

the greatest common factor is 8

List the factors of 16 and 40:

16: 1,2,4,8,16

40: 1,2,4,5,8,10,20,40

8 is the greatest common factor

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4 years ago

Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years

MatroZZZ [7]

Answer:

$14,555.17

Step-by-step explanation:

initial investment, p = $8,000

rater, r = 6% = 0.06

Number of times compounded yearly = 12

Time, t = 10 years

Amount, A = p(1 + r/n)^tn

A = 8000(1 + 0.06/12)^10*12

A = $14,555.17

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3 years ago

White an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30. Show work pls

tia_tia [17]

Answer:

Step-by-step explanation:

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2 years ago