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Ostrovityanka [42]
3 years ago
14

A total of $150000 is invested in two funds paying 6.25% and 6% simple interest. If the total interest for the year is $9212.50,

how much is invested at each rate?
Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

  • $85,000 at 6.25%
  • $65,000 at 6.00%

Step-by-step explanation:

Let x represent the amount invested at 6.25%. Then the total interest earned is ...

  0.0625x + 0.0600(150,000 -x) = 9212.50

  0.0025x = 212.50 . . . . . . subtract 9000, collect terms

  x = 212.50/0.0025 = 85,000

  150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate

$85,000 is invested at 6.25%; $65,000 is invested at 6%.

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Joanna starts the month with $54 in her savings account at the end of each week Joanna adds eight dollars to the count how much
stich3 [128]
$94
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5 0
3 years ago
6<br> Σ (12 – 4 i)<br> i = 3
AnnyKZ [126]

Answer:

- 24

Step-by-step explanation:

We have to get the value of the following sum as given.

\sum_{3}^{6} (12-4i)

This can be written in language as the summation of (12 -4i) where value of i ranges from 3 to 6.

\sum_{3}^{6} (12-4i)

= [12 - 4(3)] + [12 - 4(4)] + [12 - 4(5)] + [12 - 4(6)]

= 0 + [- 4] + [- 8] + [- 12]  

= - 24 (Answer)

3 0
3 years ago
For each pair of similar triangles find the ratio of two side lengths. How do the ratios compare
UkoKoshka [18]

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.Step-by-step explanation: ratios

5 0
2 years ago
A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 sec
Marina CMI [18]

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; t_L = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; t_L

i.e

g = G + Y + AR - t_L

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

7 0
2 years ago
Determine the constant of Proportionality in the situation below
9966 [12]

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

in this case, 10 video games cost $145

the question's basically asking what you have to multiply 10 by to get 145

y= 145; x=10

k= y/x = 145/10=14.5

the constant of proportionality is 14.5


4 0
3 years ago
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