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max2010maxim [7]
3 years ago
11

A combined total of $46,000 is invested in two bonds that pay 4% and

Mathematics
1 answer:
valkas [14]3 years ago
5 0


Answer: 4%-16000 and 9.5%-30000

Why:

1) x+y=46000

x=46000-y

2) 4%x+9,5%y=3490;

4x + 9.5y=349000; so 4*(46000-y)+9.5y=349000;

5.5y=165000

y=30000

x=46000-30000=16000


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Suppose you are choosing between checking account A, which charges a $7.50 monthly fee, $1 per check, and $2 per ATM visit; and
Kisachek [45]

I'd go with Checking account B because its cheaper .


8 0
3 years ago
Can i have the answer to this <br> pic is below
eduard

Answer:

question 1: m = 3/2

question 2: m = 1/95

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

____________________________________

given

y = 3/2 x

comparing it with y = mx+c

we have m = 3/2 .

since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0

_________________________________________

slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by

slope = (x2-x1)/y2-y1)

From the given table lets take two point as (2,190) and(4,380)

Thus, slope m is given by

m = (4-2)/(380-190) = 2/190 = 1/95

m = 1/95

Though, slope can be taken by dividing y by x (y/x). It is good practice to use two point form formula as given above . Provided two points are given

Please mark it the brainliest.

4 0
2 years ago
PLS HELP!! WILL MAKE BRAINLIEST!!!!
poizon [28]

Answer:

(86.2,0) is the x-intercept.

Step-by-step explanation:

You can use the slope formula to figure this one out:

Just use two of the points on the table, any of them will work:

(33,-22)\\(52,-33)

\frac{-22-33}{33-52} =\frac{-55}{-19}=\frac{55}{19}

Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:

(71,-44)\\y=mx+b\\-44=\frac{55}{19} (71)+b

Now just solve for b to get the y intercept:

-44=\frac{55}{19}(71)+b\\-44= \frac{3905}{19} +b\\(-\frac{3905}{19})-44=\frac{3905}{19} +b(-\frac{3905}{19})\\   -\frac{4741}{19}=b

Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.

0=\frac{55}{19}x-\frac{4741}{19}\\(+\frac{4741}{19})0=\frac{55}{19}x-\frac{4741}{19}(+\frac{4741}{19})\\\\\frac{4741}{19}=\frac{55}{19}x\\\frac{\frac{4741}{19}}{\frac{55}{19} }= \frac{\frac{55}{19} x}{\frac{55}{19} } \\\frac{431}{5} =x\\or\\86.2=x

And that's the x-intercept.

5 0
2 years ago
Read 2 more answers
23. Kelvin travelled of his journey at 45 km/h and of the remaining journey at 90 km/h. The rest of his journey was completed in
Sonja [21]

Answer:

4.6 hours

Step-by-step explanation:

we first need to calculate the total distance he covered and total time taken whole for the journey.

Distance= speed X time

time = Distance/speed

let the total distance be X. he covers 2/5 if the journey first.

2/5 = 0.4

Time = 0.4x/45 hours

the remaining journey is 3/5x

he covers 1/3 X 3/5= 0.2x

time taken = 0.2/90 X hours

the remaining distance = 100× 1.2 = 120km

we add 0.4x + 0.2x to get the fraction he had covered

0.6x.

the remaining distance was X - 0.6x = 0.4 X

thus 120 km represents 0.4x of the journey

we calculate now the value of X

0.4x = 120

X = 300km

Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours

replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

3 0
1 year ago
This is my my second to <br>last one, thanks for helping me
icang [17]

9514 1404 393

Answer:

  • $9
  • Option 4

Step-by-step explanation:

The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.

  1 cherry and 7 sweet potato for $114   ⇒   C +7S = 114

  14 sweet potato and 11 cherry for $309   ⇒   11C +14S = 309

Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.

These equations match Option 4.

__

The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:

  (11C +14S) -2(C +7S) = (309) -2(114)

  9C = 81 . . . . . simplify

  C = 9 . . . . . . . divide by 9

The cost of each cherry pie is $9.

3 0
3 years ago
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