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Nimfa-mama [501]
3 years ago
14

The diagram below shows a section of the playground that has been marked off in the shape of a triangle as a dance area for the

school carnival. The center circle will be a special spotlight area that has a diameter of 8 ft. What is the approximate area of the shaded portion of the triangular dance area?

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Answer:

It’s 228 (b)

Step-by-step explanation:

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A local high school has both male and female students.
Kitty [74]

Answer:

a. P(male) = 0.4

b. P(no sport and male) = 0.1

c. Unclear question (isn't it the same as b.?)

Step-by-step explanation:

The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;

\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right]

a.

P(male) = \frac{7 + 21}{70} \\\\ = \frac{28}{70} \\\\ = \frac{2}{5}

b.

Using the tree diagram in the picture;

P(no \ sport \ and \ male) = \frac{2}{5} * \frac{1}{4} \\\\ = \frac{1}{10}

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2 years ago
Đường thãng oc là gì đối với ab ?tại sao?
AVprozaik [17]

Answer:

Đường thãng oc là gì đối với ab ?tại sa

4 0
3 years ago
What is 2 + 4+6x9+12?
katen-ka-za [31]

Answer:

72 ?

Step-by-step explanation:

3 0
3 years ago
5.Richard Miyashiro purchased a condominium and obtained a 30-year loan of $196,000 at an annual interest rate of 8.20%. (Round
GREYUIT [131]

Answer:

5 a) PMT=$1,465.60

b) Total Payments=$527,616

c) Total Interest=$331,616

6a) Interest=$1,079.93

b) Principal=$584.07

Step-by-step explanation:

a. Given the loan amount is $196,000, annual rate is 8.2% and the loan term is 30 years.

-The monthly mortgage payment can be calculated as follows:

PMT=A(\frac{(r/n)}{1-(1+\frac{r}{n})^{-nt}})

Where:

  • PMT is the monthly mortgage payment
  • r is the annual interest rate
  • n,t is the number of annual payments and time in years respectively

-We substitute to solve for PMT:

PMT=A(\frac{(r/n)}{1-(1+\frac{r}{n})^{-nt}})\\\\=196000[\frac{(0.082/12)}{1-(1+\frac{0.082}{12})^{-12\times30}}]\\\\=\$1,465.60

Hence, the monthly mortgage payment is $1,465.60

b. The total number of payments is obtained by multiplying the total number of payments by the amount of each payment:

\sum(payments)=PMT\times nt\\\\=1465.60\times 12\times 30\\\\=\$527,616.00

Hence, the total amount of payments is $527,616

c. The amount of interest paid over the loan's term is obtained  by subtracting the principal loan amount from the total payments made:

Interest=Payments-Principal\\\\=527,616.00-196,000.00\\\\=\$331,616

Hence, an interest amount of $331,616 is paid over the loan's term.

6 a) We first obtain the effective loan amount by subtracting the down-payment:

Loan \ Amount= Regular \ Price -Downpayment\\\\=205700-0.1(205700)\\\\=\$185,130

The interest paid on the first mortgage payment is calculated as below:

I=\frac{r}{n}\times P\\\\I=Interest\\r=interest \ rate\\n=Payments \ per \ year\\P=Outstanding \ loan \ balance\\\\\therefore I=\frac{0.07}{12}\times 185130\\\\=\$1,079.93

Hence, the amount of interest in the first payment is $1,079.93

b. The amount of principal repaid is obtained by subtracting the interest amount from the monthly mortgage payments;

Principal \ Paid=PMT-Interest\\\\PMT=A[\frac{(r/n)}{1-(1+\frac{r}{n})^{-nt}}]\\\\=185130[\frac{(0.07/12)}{1-(1+\frac{0.07}{12})^{-180}}\\\\=1664.00\\\\\\Principal \ Paid=1664.00-1079.93\\\\=\$584.07

Hence, the amount of principal applied is $584.07

7 0
3 years ago
What is 0.5( -16p - 6) = ?​
timurjin [86]

Answer:

−8p−3

Step-by-step explanation:

7 0
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