Sarah invests $4500 part at 7% the balance at 8.5%?

Question

Sarah invests $4500 part at 7% the balance at 8.5%. After one year, the interest earned on the 7% investment was $150 less than the interest earned on the 8.5% investment. How much was invested at each rate?
make 2 equations to answer question

Answer 1

Let x be the amount invested at 7% and y the amount invested at 8.5%

First equation is

x + y = 4500

or x = 4500 - y

Interest earned after 1 year = 7x / 100 and 8.5y / 100 respectively.

We are given that 8.5y / 100 = 150 + 7x / 100

0.085y = 150 + 0.07x

0.085y = 150 + 0.07 (4500 - y)

0.085y = 150 + 315 - 0.07y

0.085y + 0.07y = 465

0.155y = 465

y = 465 / 0.155 = 3000

And x = 4500 - 3000 = 1500

So, Sarah invested 1500 dollars at 7% and 3000 dollars at 8.5%

Answer 2

x: the amount of 7% investment
y: the amount of 8% inverstment
Total investment balance:
x+y = 4500......(1)
Interest balance:
.07x = .085y-150......(2)
Plug in (1) in (2),
0.07x = 0.085(4500-x) - 150
Solve for x,
x = $1,500
y = $3,000

Answer 3

i assumed bastian9 defined it o.k., however the Trinity is a secret. as a results of fact the Bible mentions the father, the Son, and the Holy Spirit as beings that have the authority and ability of deity, and yet we've verses that say that there is in basic terms one God, we could take the verses mutually as an concept quite than finding for guy or woman verses that especially say "Trinity" and finding for good judgment that places 3 persons into one. it is actual that that won't bodily attainable. yet whilst the Bible includes all of those verses mutually, then our attempt to return to a decision them could enable for God's techniques being above our techniques, regardless of the reality that this passage could be used sparingly lest we arise with the wildest of cult ideals and claims of divine coaching in spreading heresy. in case you "don't get the Holy Spirit area" after which you will possibly make a spectacular Jehovah's Witness while you're no longer one already. The Holy Spirit to them is a stress, as a results of fact they do no longer elect to violate the "one God" verses that still go away out Jesus as a results of fact the 2nd individual of the Trinity. yet i believe it incredibly is attainable to believe the two strategies even nevertheless we don't comprehend them. Jesus and the Holy Spirit are the two shown to be deity, they are in a position to be no longer the rest devoid of destroying the integrity of the the Bible and the only God who's on my own to be worshiped. So, regardless of the reality that it is not suggested, we take it on faith that the three persons of the Trinity are each and each manifestations of the only God that we won't be able to clarify as something greater advantageous than a secret.

Answer 4

x: 7% investment
y: 8% inverstment
x+y = 4500......(1)
.07x = .085y-150......(2)
Plug in (1) in (2),
0.07x = 0.085(4500-x) - 150
Solve for x,
x = $1,500
y = $3,000