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3 years ago

WILL GIVE BRAINLIEST!!!!!

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

Answer:

Step-by-step explanation:

m∠BCD = 145° ⇒ m∠BCA = 180° - 145° = 35°

From ΔABC:

m∠ABC + m∠BCA + m∠BAC = 180°

65° + 35° + m∠BAC = 180°

m∠BAC = 180° - 100°

m∠BAC = 80°

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How much would $500 invested at 6% interest compounded monthly be worth after 5 years

likoan [24]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12\\
t=years\to &5
\end{cases}
\\\\\\
A=500\left(1+\frac{0.06}{12}\right)^{12\cdot 5}\implies A=500(1.005)^{60}\implies A\approx 674.42508$

5 0

4 years ago

2x + 3y = 15 x + y = 6 Work out the values of x and y.

Igoryamba

Answer:

x is 3

and

y is 3

Step-by-step explanation:

(2*3)+(3*3) = 15

6+9 = 15

6 0

3 years ago

What is the scale factor of this dilation? A 2/3 B 1 1/2 C 3 D 5

Jlenok [28]

Answer:

B. 1 1/2

Step-by-step explanation:

The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.

3 0

3 years ago

Harry's health club cost $19 per month plus a $80 membership fee. Fiona's Fitness cost $35 per month. After how many months will

Airida [17]

Answer:

5 months

Step-by-step explanation:

Let the number of months be "x"

Lets find equation for both Harry's and Fiona's scheme.

Harry:

80 fixed cost

19 per month

So that would be 80 + 19x

Fiona:

no fixed cost, only 35 per month

So that would be 35x

Now we equate both since we want cost to be same and find x, number of months at which this will occurs. Shown below:

$80+19x=35x\\80=35x-19x\\80=16x\\x=\frac{80}{16}\\x=5$

Thus, after 5 months, cost will be same.

8 0

4 years ago

Roisin is a price analyst for a food distributor. One week she put together bids for 680 cases, 507 cases, 830 cases, 391 cases,

sineoko [7]

Answer: The average number of cases per bid is 599.

Step-by-step explanation:

Given: One week she put together bids for 680 cases, 507 cases, 830 cases, 391 cases, and 587 cases.

Total cases = 680 + 507 + 830 + 391+587

= 2995

Number of bids = 5

Now, average number of cases per bid = $\dfrac{\text{Total cases }}{\text{Number of bids}}$

$=\dfrac{2995}{5}\\\\=599$

Hence, the average number of cases per bid is 599.

6 0

3 years ago