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Vlada [557]
4 years ago
5

-24-8x=12; 1+5/9y=-7/8x

Mathematics
1 answer:
umka2103 [35]4 years ago
6 0
X=-9/2
y=-711/80

1.solve for x
2.substitute -9/2 for x on the second equation
3.solve for y 

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Ruth and Juan Dimas would like yo borrow $2,600 for 90 days to pay their real estate tax. State savings and Loan charges 7.25 pe
steposvetlana [31]

Answer:

$2647.13

$2648.08

Step-by-step explanation:

To solve for the value of each loan we will use the formula:

A=P(1+rt)

Let's break down the variables that we have.

P = $2,600

r = 7.25% or 0.0725

r2 = 7.50% or 0.0750

t = 90 days

Now since we're computing for two different types of interest, let's take it one at a time.

First the State Saving and Loan.

In this situation we are solving for ordinary interest, where we compute with the total number of days are 360

A=P(1+rt)

A=2,600(1+(0.0725)(\dfrac{90}{360})

A=2,600(1+(0.0725)(0.25)

A=2,600(1+0.018125)

A=2,600(1.018125)

A=2,647.13

The maturity value of State Savings and Loan is $2,647.13.

Now let's move on to the Security bank.

The security bank charges 7.5% exact interest. For exact interest we use 365 days.

A=2,600(1+(0.0750)(\dfrac{90}{365})

A=2,600(1+(0.0750)(0.246575)

A=2,600(1+(0.0184931)

A=2,600(1.0184931)

A=2,648.08

The maturity value of the Security bank is $2,648.08.

5 0
4 years ago
A sheet of metal that is 30cm wide and 600cm long is to used to make a rectangular eavestrough by bending the shett an equal amo
tensa zangetsu [6.8K]

Answer:

The sheet should be turned up 7.5cm on each side to obtain maximum volume.

Step-by-step explanation:

If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.

Height of eaves trough = x cm

Length of eaves trough = 600 cm

Width of eaves trough =  (30 - 2x) cm

We know that Volume is given by:

V = Length · Width · Height

V = (x)(30 - 2x)(600)

V = -1200x² + 18000x

To maximize the volume, we take the derivative and put it equal to zero.

\frac{dV}{dx} =\frac{d}{dx}( -1200x^2 +18000x)=0\\\frac{d}{dx}( -1200x^2 +18000x) = 0\\-(2)1200x+18000=0\\-2400x+18000=0\\x=\frac{18000}{2400}\\ x=7.5cm

8 0
3 years ago
2(-x+2)-4=-3(5-x)<br><br> What is the answer?
lianna [129]
The answer is 3 x=3

5 0
3 years ago
Last year Jacob made $2,300 at his summer job. This year he only made $1,771. What is the percent decrease?
MariettaO [177]

Answer:

23%

Step-by-step explanation:

$1,771 divided by $ 2,300 = 77%

100% - 77% = 23%

8 0
3 years ago
A pyramid has a square base that is 160 m on each side. What is the perimeter of the base in kilometers? Question 19 options:
storchak [24]

Answer:

1km=1000m 160m=0.160x4=0.64

Step-by-step explanation:

Ifl = 160m, then:

P = 4 * 160m\\P = 640m

Thus, the perimeter of the base of the pyramid is 640m.

On the other hand, by definition: 1Km = 1000m

By making a rule of three we have:

1Km ---------> 1000m

x --------------> 640m

Where "x" represents the perimeter of the base of the pyramid in Km.

x = \frac {640 * 1} {1000}\\x = 0.64km

5 0
4 years ago
Read 2 more answers
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