Santiago receives ​$179

per year in simple interest from three investments. Part is invested at​ 2%, part at​ 3%, and part at​ 4%. There is​ $500 more invested at​ 3% than at​ 2%. The amount invested at​ 4% is four times the amount invested at​ 3%. Find the amount invested at each rate.

[tex]\\ \sf\longmapsto 7x-27=1[/tex]

[tex]\\ \sf\longmapsto 7x=1+27[/tex]

[tex]\\ \sf\longmapsto 7x=28[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{28}{7}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

We know

[tex]\boxed{\sf Area=Length\times Width}[/tex]

[tex]\\ \sf\longmapsto 336=x(x+5)[/tex]

[tex]\\ \sf\longmapsto x^2+5x=336[/tex]

[tex]\\ \sf\longmapsto x^2+5x-336=0[/tex]

[tex]\\ \sf\longmapsto x^2-16x+21x-336=0[/tex]

[tex]\\ \sf\longmapsto x(x-16)+21(x-16)=0[/tex]

[tex]\\ \sf\longmapsto (x-16)(x+21)=0[/tex]

[tex]\\ \sf\longmapsto (x-16)=0\:or\:(x+21)=0[/tex]

[tex]\\ \sf\longmapsto x=16\:or\:x=-21[/tex]

[tex]\\ \sf\longmapsto Length=x=16yd[/tex]

[tex]\\ \sf\longmapsto Width=x+5=16+5=21yd[/tex]

Step-by-step explanation:

I need help to...

I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.

a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480

b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500

I hope I helped you^_^

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume of a cube is given by

V = s^3 where s is the side length

V = 4^3

V = 64 cm^3

Answer:

64

Step-by-step explanation:

i guess so as the volume is 4×4×4

Step-by-step explanation:

Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.

Hope it helps you

Mark my answer as brainlist

have a nice day

Answer:

D or 16

Step-by-step explanation:

For perimeter, the formula is 2(L + W) where L is length, and W is width.

So 2 ( 2 + 6 )

= (4 + 12)

= 16

Answer:

68°

Step-by-step explanation:

since the ball is placed or comes from a straight line (which is the wall) it means that when you add all those angles the final answer has to be 180 because angles in a straight line add up to 180°

68°+44°+1=180

112°+1=180

1=180-112

=68°

I hope this helps

The measure of ∠1 is 68 degrees.

We have Lisa who kicked a ball against the wall at the indicated angle.

We have to determine the measure of the angle 1 in degrees.

A straight line has an angle of 180 degrees.

According to question, we have -

∠3 = 68 degrees

∠2 = 44 degrees

Therefore -

∠3 + ∠2 + ∠1 = 180

68 + 44 + ∠1 = 180

112 + ∠1 = 180

∠1 = 180 - 112

∠1 = 68 degrees

Hence, the measure of ∠1 is 68 degrees.

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Answer:

99900

Step-by-step explanation:

Answer:

500 x 200 + 300 - 400 =99900

Answer:

Shane=x

Abha=y

x+y>=2000

x-y=178 Which leads to x=178+y ..... #1

hence by substitution in the inequality

178+2y>=2000

2y>=2000-178

2y>=1822

y>=911 ......in #1

x>=178+911

x>=1089

Solutions x>=1089 & y>=911

Answer:

There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).

A domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}

B domain: {–3, –2, 0, 1, 4}

C domain: {–5, –4, –3, 1, 2, 5}

D domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}

Answer:

what can i help u with

Step-by-step explanation:

Option C is correct that is domain is {-5,-4,-3,1,2,5}Explanation:The domain is the values that x will take

Front: 60 cm^2

Area = 6 x 10 = 60

Back: 60 cm^2

Area = 6 x 10 = 60

Right: 30 cm^2

Area = 3 x 10 = 30

Left: 30 cm^2

Area = 3 x 10 = 30

Bottom: 18 cm^2

Area = 6 x 3 = 18

TOTAL: 216 cm^2

Formula I used:

SA of a rectangular prism:

2 (lw + hl + w)

Just use the formula without the “lw”. After you used the formula, just solve for “lw” again and add it back to the final answer. This is because the upper part of the prism is not included.

Answer:

216 square cm

Brainliest, please!

Step-by-step explanation:

A rectangle has 6 sides. 2 are the same, 2 are the same, and the final 2 are the same.

(6 x 10) x 2 = 60 x 2 = 120 (Front + Back)

(3 x 6) x 2 = 18 x 2 = 36 (Top + Bottom)

(3 x 10) x 2 = 30 x 2 = 60 (Left + Right)

120 + 36 + 60 = 216 square cm

Answer:

Step-by-step explanation:

Because of the properties of infinity:

Answer:

nope.

Step-by-step explanation:

Answer:

4th option, x = -1 and x = 9

Step-by-step explanation:

3(x-4)²=75

or, (x-4)²=25

or, x²-8x+16-25=0

or, x²-8x-9=0

or, x²-9x+x-9=0

or, x(x-9)+1(x-9)=0

or, (x-9)(x+1)=0

so, x-9=0 or, x=9

and x+1=0 or, x=-1

The two solutions of the quadratic equation are:

x = -1 and x = 9

The quadratic equation is:

3*(x - 4)^2 = 75

We can expand it as:

3*x^2 - 3*2*4*x + 3*16 = 75

3x^2 - 24x  -27 = 0

Now, using Bhaskara's formula we get:

[tex]x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}[/tex]

So the two solutions are:

x = (24 + 30)/6 = 9

x = (24 - 30)/6 = -1

If you want to learn more about quadratic equations:

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Answer:

(y/7)x(4+9)

Step-by-step explanation:

statement one y/7

statement two 4+9

(y/7)x(4+7)

Answer: 0

Step-by-step explanation:

Slope of x = -3 is infinite / undefined (there is infinite/no defined change in y for a given change in x). Remember, line x = -3 slopes straight up.

Perpendicular means at a 'right angle to'.

The only kind of line that is perpendicular to a vertical line is a horizontal line, which is like y = 15 or y = 5 or something. The slope of such lines is always zero, because there is no change in line's rise for a given run.

Answer:

t = 1.4 meters

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

2.744 = t^3

Take the cube root of each side

(2.744) ^ 1/3 = t^3 ^ 1/3

1.4 = t

Answer:

Hello,

Step-by-step explanation:

A: roots are x=-1 and x=5 : x-intercepts are (-1,0) and (5,0) :TRUE

B: There are only 2 roots for quadratic function : FALSE

C: the function has a minimum for x=2 but the value of that minum is -9 : FALSE

D: (-oo,-9) :decrease ok, but (-x,oo) false: FALSE

E: TRUE (function is y=(x+1)(x-5)=x²-4x-5

F: minimum=-9 TRUE

G: TRUE (see graph jointed)

H: TRUE like F

I: FALSE

Answer:

9

Step-by-step explanation:

r/3  +5 ≤ 8

Subtract 5 from each side

r/3  +5 -5≤ 8-5

r/3   ≤ 3

Multiply each side by 3

r/3  *3 ≤ 3*3

r   ≤ 9

The only value that is less than or equal to 9 is 9

Answer:

7

Step-by-step explanation:

you would divide by 7 then times by 6

Answer:

The property showed in the number 21 is the distributive property

Step-by-step explanation:

x+2x+3x=180

6X=180

x=180/6

x=30

again

2 x=2×30

=60

3×=3×30

=90

Answer

295.4426m²

Step-by-step explanation:

97m÷2=48.5

Answer:

C. (3, 3)

Step-by-step explanation:

By using the corresponding angles theorem we can see that (6x - 5)° and (x - 25)° are supplementary angles, so they add up to 180°.

This means that:

(6x - 5) + (x - 25) = 180

7x - 30 = 180

7x = 210

x = 30

If you want to find the exact values of the angles, just plug x = 30 into the angle values! :)

Answer: a = -8

Step-by-step explanation:

Given

-8a - 5 = -7a + 3

Subtract 3 on both sides

-8a - 5 - 3 = -7a + 3 - 3

-8a - 8 = -7a

Add 8a on both sides

-8a - 8 + 8a = -7a + 8a

a = -8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a = -8

Step-by-step explanation:

-8a-5=-7a+3                    Add 5 to both sides.

- 8a = - 7a + 3 + 5           Combine

-8a = - 7a + 8                  Add 7a to both sides

-8a + 7a = 8                    Combine

-a = 8                              Multiply by - 1

a = - 8                          

When you get a weird number like this, you should check it.

LHS = -8(-8) - 5

LHS = 64 - 5

LHS = 59

RHS = -(7*-8) + 3

RHS = -(-56) + 3

RHS = 56 + 3

RHS = 59

So a = - 8 must be right.

Answer:

the answer is number 3)2

Step-by-step explanation:

subtract the both

Answer:

e =1

Step-by-step explanation:

[tex]16-3e=\frac{7}{5} e +11.6\\4.4-3e=\frac{7}{5}e\\4.4=\frac{22}{5} e\\22=22e\\1=e[/tex]

Answer:

16+74

Step-by-step explanation:

substitute 16 into the equation

It is a rectangle

The shaded thing

Must click thanks and mark brainliest