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Mashutka [201]
3 years ago
11

2] The band has a ratio of boys to girls of 5 to 4. There are 171 students in the band.

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

9514 1404 393

Answer:

  • There are 95 boys.
  • There are 76 girls.

Step-by-step explanation:

The fraction that is boys is 5/(5+4) = 5/9. That fraction of the total is ...

  boys = 5/9 × 171 = 95

Girls are the remainder:

  girls = 171 -95 = 76

There are 95 boys and 76 girls in the band.

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If $8259 principal is invested in a savings account that pays 5.25% interest compounded continuously how much money will be in t
VMariaS [17]

Answer:

A(10) = $13,961.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.25/100

r = 0.0525 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

P = 8259

r = 0.0525

t = 10 years.

Hence,

A = 8,259.00 × e^(0.0525×10)

A = $13,961.50

Therefore, the money that will be in the account after 10 years is $13,961.50

5 0
3 years ago
(a) Fiona has $450 in her savings account. She deposits $40 each month. Liam has $975 in his checking account. He writes a check
kenny6666 [7]

Answer:

y=450+40x        y=975-65x

Step-by-step explanation:

at five months they will have the same amount of money in their accounts

7 0
3 years ago
A rectangular picture frame measures 63 cm by 63 cm. What is the perimeter or distance around the picture frame in meters? m
Natalija [7]
Hi!

We need the perimeter in meters, so we have to turn cm into m. 
63 cm = 0.63 m

The perimeter is the sum of all side measures:
P = 0.63 + 0.63 + 0.63 + 0.63
P = 4 * 0.63
P = 2.52 m

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6 0
3 years ago
Assistance required pleasssse help!
nexus9112 [7]

Answer:

system of function:

f(x)=.5x+6

f(x)=x^2; x > 2

Step-by-step explanation:

there's a screenshot attached. Explanation: I'm using desmos and just type the functions like what the screenshot did to graph the piecewise function made by two functions

8 0
3 years ago
Which are the maximum values ? I will add a picture please help
Alik [6]

Answer:

58 at the point (9,8)

7 at the point (1, 1)

Step-by-step explanation:

The maximum points will be found in the vertices of the region.

Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.

The vertices found are:

(1, 10)

(1, 1)

(9, 5)

(9, 8)

We look for the values of x and y belonging to the region, which maximize the objective function f(x, y) = 2x + 5y. Therefore we look for the vertices with the values of x and y higher.

(1, 10), (9, 5), (9, 8)

Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)

f(1, 10) = 2(1) + 5(10) = 52\\\\f(9, 5) = 2(9) + 5(5) = 43\\\\f(9, 8) = 2(9) + 5(8) = 58

The point that maximizes the function is:

(9, 8) with f(9, 8) = 58

Then the value that produces the minimum of f(x, y) is (1, 1)

f(1, 1) = 2(1) + 5(1) = 7

5 0
3 years ago
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